{"id":61228,"date":"2023-08-31T01:03:00","date_gmt":"2023-08-30T19:33:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=61228"},"modified":"2023-09-01T22:15:23","modified_gmt":"2023-09-01T16:45:23","slug":"rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/","title":{"rendered":"RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials (Updated For 2023)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-138925\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-3-Factorisation-of-Polynomials.png\" alt=\"RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-3-Factorisation-of-Polynomials.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-3-Factorisation-of-Polynomials-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials:<\/strong> If you are a Class 9 student preparing for Maths exam, then you must try the <a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-class-9-maths-solutions\/\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 9 Maths<\/a>. All the solutions are easy to understand, reliable and very well-explained, all thanks to the subject matter experts.<\/p>\n<p>Download the RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials Free PDF from the download link gievn in this blog. To know more, read the whole blog.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d01d1665751\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d01d1665751\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#download-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials-pdf\" title=\"Download RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF\">Download RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#access-solutions-of-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\" title=\"Access Solutions Of RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials\">Access Solutions Of RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-1\" title=\"Question 1:\">Question 1:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-2\" title=\"Question 2:\">Question 2:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-2\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-2-2\" title=\"Question 2:\">Question 2:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-3\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-3\" title=\"Question 3:\">Question 3:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-4\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-4\" title=\"Question 4:\">Question 4:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-5\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-5\" title=\"Question 5:\">Question 5:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-6\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-6\" title=\"Question 6:\">Question 6:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-7\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-7\" title=\"Question 7:\">Question 7:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-8\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-8\" title=\"Question 8:\">Question 8:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-9\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-9\" title=\"Question 9:\">Question 9:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-10\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-10\" title=\"Question 10:\">Question 10:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-11\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-11\" title=\"Question 11:\">Question 11:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-26\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-12\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-27\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-12\" title=\"Question 12:\">Question 12:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-28\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-13\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-29\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#i\" title=\"&nbsp;\">&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-30\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-13\" title=\"Question 13:\">Question 13:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-31\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-14\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-32\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-14\" title=\"Question 14:\">Question 14:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-33\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-15\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-34\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-15\" title=\"Question 15:\">Question 15:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-35\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-16\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-36\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-16\" title=\"Question 16:\">Question 16:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-37\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-17\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-38\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-17\" title=\"Question 17:\">Question 17:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-39\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-18\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-40\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-18\" title=\"Question 18:\">Question 18:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-41\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-19\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-42\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-19\" title=\"Question 19:\">Question 19:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-43\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-20\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-44\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-20\" title=\"Question 20:\">Question 20:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-45\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-21\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-46\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-21\" title=\"Question 21:\">Question 21:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-47\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-22\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-48\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-22\" title=\"Question 22:\">Question 22:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-49\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-23\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-50\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-23\" title=\"Question 23:\">Question 23:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-51\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-24\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-52\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-24\" title=\"Question 24:\">Question 24:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-53\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-25\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-54\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-25\" title=\"Question 25:\">Question 25:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-55\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-26\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-56\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-26\" title=\"Question 26:\">Question 26:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-57\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-27\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-58\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-27\" title=\"Question 27:\">Question 27:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-59\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-28\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-60\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-28\" title=\"Question 28:\">Question 28:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-61\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-29\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-62\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-29\" title=\"Question 29:\">Question 29:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-63\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-30\" title=\"ANSWER:\">ANSWER:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-64\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#question-30\" title=\"Question 30:\">Question 30:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-65\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#answer-31\" title=\"ANSWER:\">ANSWER:<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-66\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#faqs-on-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\" title=\"FAQS on RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials\">FAQS on RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-67\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials-pdf\" title=\"From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF?\">From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-68\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#how-much-does-it-cost-to-download-the-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials-pdf\" title=\"How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF?\">How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-69\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/#can-i-access-the-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials-pdf-offline\" title=\"Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF Offline?\">Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF Offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials-pdf\"><\/span>Download <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Maths-Chapter-3.pdf\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Maths-Chapter-3.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-solutions-of-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\"><\/span>Access Solutions Of <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-1\"><\/span>Question 1:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>9<em>x<\/em><sup>2<\/sup>&nbsp;+ 12<em>xy<\/em><\/p>\n<\/div>\n<div id=\"quesA1\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span class=\"MathJax_Preview\"><span id=\"MJXp-Span-1\" class=\"MJXp-math\"><span id=\"MJXp-Span-2\" class=\"MJXp-mn\">9<\/span><span id=\"MJXp-Span-3\" class=\"MJXp-msup\"><span id=\"MJXp-Span-4\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-5\" class=\"MJXp-mn MJXp-script\">2<\/span><\/span><span id=\"MJXp-Span-6\" class=\"MJXp-mo\">+<\/span><span id=\"MJXp-Span-7\" class=\"MJXp-mn\">12<\/span><span id=\"MJXp-Span-8\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-9\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-10\" class=\"MJXp-mspace\"><\/span><span id=\"MJXp-Span-11\" class=\"MJXp-mo\">=<\/span><span id=\"MJXp-Span-12\" class=\"MJXp-mn\">3<\/span><span id=\"MJXp-Span-13\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-14\" class=\"MJXp-mfenced\"><span id=\"MJXp-Span-15\" class=\"MJXp-mo\">(<\/span><span id=\"MJXp-Span-16\" class=\"MJXp-mrow\"><span id=\"MJXp-Span-17\" class=\"MJXp-mn\">3<\/span><span id=\"MJXp-Span-18\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-19\" class=\"MJXp-mo\">+<\/span><span id=\"MJXp-Span-20\" class=\"MJXp-mn\">4<\/span><span id=\"MJXp-Span-21\" class=\"MJXp-mi MJXp-italic\">y<\/span><\/span><span id=\"MJXp-Span-22\" class=\"MJXp-mo\">)<\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-2\"><\/span>Question 2:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>18<em>x<\/em><sup>2<\/sup><em>y<\/em>&nbsp;\u2212 24<em>xyz<\/em><\/p>\n<\/div>\n<div id=\"quesA2\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-2\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span class=\"MathJax_Preview\"><span id=\"MJXp-Span-23\" class=\"MJXp-math\"><span id=\"MJXp-Span-24\" class=\"MJXp-mn\">18<\/span><span id=\"MJXp-Span-25\" class=\"MJXp-msup\"><span id=\"MJXp-Span-26\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-27\" class=\"MJXp-mn MJXp-script\">2<\/span><\/span><span id=\"MJXp-Span-28\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-29\" class=\"MJXp-mo\">&#8211;<\/span><span id=\"MJXp-Span-30\" class=\"MJXp-mn\">24<\/span><span id=\"MJXp-Span-31\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-32\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-33\" class=\"MJXp-mi MJXp-italic\">z<\/span><span id=\"MJXp-Span-34\" class=\"MJXp-mspace\"><\/span><span id=\"MJXp-Span-35\" class=\"MJXp-mo\">=<\/span><span id=\"MJXp-Span-36\" class=\"MJXp-mn\">6<\/span><span id=\"MJXp-Span-37\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-38\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-39\" class=\"MJXp-mfenced\"><span id=\"MJXp-Span-40\" class=\"MJXp-mo\">(<\/span><span id=\"MJXp-Span-41\" class=\"MJXp-mrow\"><span id=\"MJXp-Span-42\" class=\"MJXp-mn\">3<\/span><span id=\"MJXp-Span-43\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-44\" class=\"MJXp-mo\">&#8211;<\/span><span id=\"MJXp-Span-45\" class=\"MJXp-mn\">4<\/span><span id=\"MJXp-Span-46\" class=\"MJXp-mi MJXp-italic\">z<\/span><\/span><span id=\"MJXp-Span-47\" class=\"MJXp-mo\">)<\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-2-2\"><\/span>Question 2:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>18<em>x<\/em><sup>2<\/sup><em>y<\/em>&nbsp;\u2212 24<em>xyz<\/em><\/p>\n<\/div>\n<div id=\"quesA2\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-3\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span class=\"MathJax_Preview\"><span id=\"MJXp-Span-23\" class=\"MJXp-math\"><span id=\"MJXp-Span-24\" class=\"MJXp-mn\">18<\/span><span id=\"MJXp-Span-25\" class=\"MJXp-msup\"><span id=\"MJXp-Span-26\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-27\" class=\"MJXp-mn MJXp-script\">2<\/span><\/span><span id=\"MJXp-Span-28\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-29\" class=\"MJXp-mo\">&#8211;<\/span><span id=\"MJXp-Span-30\" class=\"MJXp-mn\">24<\/span><span id=\"MJXp-Span-31\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-32\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-33\" class=\"MJXp-mi MJXp-italic\">z<\/span><\/span><\/span><\/p>\n<p><span class=\"MathJax_Preview\"><span id=\"MJXp-Span-23\" class=\"MJXp-math\"><span id=\"MJXp-Span-34\" class=\"MJXp-mspace\"><\/span><span id=\"MJXp-Span-35\" class=\"MJXp-mo\">=<\/span><span id=\"MJXp-Span-36\" class=\"MJXp-mn\">6<\/span><span id=\"MJXp-Span-37\" class=\"MJXp-mi MJXp-italic\">x<\/span><span id=\"MJXp-Span-38\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-39\" class=\"MJXp-mfenced\"><span id=\"MJXp-Span-40\" class=\"MJXp-mo\">(<\/span><span id=\"MJXp-Span-41\" class=\"MJXp-mrow\"><span id=\"MJXp-Span-42\" class=\"MJXp-mn\">3<\/span><span id=\"MJXp-Span-43\" class=\"MJXp-mi MJXp-italic\">y<\/span><span id=\"MJXp-Span-44\" class=\"MJXp-mo\">&#8211;<\/span><span id=\"MJXp-Span-45\" class=\"MJXp-mn\">4<\/span><span id=\"MJXp-Span-46\" class=\"MJXp-mi MJXp-italic\">z<\/span><\/span><span id=\"MJXp-Span-47\" class=\"MJXp-mo\">)<\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-3\"><\/span>Question 3:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>27<em>a<\/em><sup>3<\/sup><em>b<\/em><sup>3<\/sup>&nbsp;\u2212 45<em>a<\/em><sup>4<\/sup><em>b<\/em><sup>2<\/sup><\/p>\n<\/div>\n<div id=\"quesA3\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-4\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-3-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>27<\/mn><msup><mi>a<\/mi><mn>3<\/mn><\/msup><msup><mi>b<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><mn>45<\/mn><msup><mi>a<\/mi><mn>4<\/mn><\/msup><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mn>9<\/mn><msup><mi>a<\/mi><mn>3<\/mn><\/msup><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><mn>3<\/mn><mi>b<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><mi>a<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-52\" class=\"math\"><span id=\"MathJax-Span-53\" class=\"mrow\"><span id=\"MathJax-Span-54\" class=\"mn\">27<\/span><span id=\"MathJax-Span-55\" class=\"msup\"><span id=\"MathJax-Span-56\" class=\"mi\">a<\/span><span id=\"MathJax-Span-57\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-58\" class=\"msup\"><span id=\"MathJax-Span-59\" class=\"mi\">b<\/span><span id=\"MathJax-Span-60\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-61\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-62\" class=\"mn\">45<\/span><span id=\"MathJax-Span-63\" class=\"msup\"><span id=\"MathJax-Span-64\" class=\"mi\">a<\/span><span id=\"MathJax-Span-65\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-66\" class=\"msup\"><span id=\"MathJax-Span-67\" class=\"mi\">b<\/span><span id=\"MathJax-Span-68\" class=\"mn\">2 <\/span><\/span><span id=\"MathJax-Span-69\" class=\"mspace\"><\/span><span id=\"MathJax-Span-70\" class=\"mo\">= <\/span><span id=\"MathJax-Span-71\" class=\"mn\">9<\/span><span id=\"MathJax-Span-72\" class=\"msup\"><span id=\"MathJax-Span-73\" class=\"mi\">a<\/span><span id=\"MathJax-Span-74\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-75\" class=\"msup\"><span id=\"MathJax-Span-76\" class=\"mi\">b<\/span><span id=\"MathJax-Span-77\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-78\" class=\"mfenced\"><span id=\"MathJax-Span-79\" class=\"mo\">(<\/span><span id=\"MathJax-Span-80\" class=\"mrow\"><span id=\"MathJax-Span-81\" class=\"mn\">3<\/span><span id=\"MathJax-Span-82\" class=\"mi\">b<\/span><span id=\"MathJax-Span-83\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-84\" class=\"mn\">5<\/span><span id=\"MathJax-Span-85\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-86\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/div>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-4\"><\/span>Question 4:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>2<em>a<\/em>(<em>x<\/em>&nbsp;+&nbsp;<em>y<\/em>) \u2212 3<em>b<\/em>(<em>x<\/em>&nbsp;+&nbsp;<em>y<\/em>)<\/p>\n<\/div>\n<div id=\"quesA4\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-5\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-4-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>2<\/mn><mi>a<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>3<\/mn><mi>b<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><mn>2<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><mi>b<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-87\" class=\"math\"><span id=\"MathJax-Span-88\" class=\"mrow\"><span id=\"MathJax-Span-89\" class=\"mn\">2<\/span><span id=\"MathJax-Span-90\" class=\"mi\">a<\/span><span id=\"MathJax-Span-91\" class=\"mfenced\"><span id=\"MathJax-Span-92\" class=\"mo\">(<\/span><span id=\"MathJax-Span-93\" class=\"mrow\"><span id=\"MathJax-Span-94\" class=\"mi\">x<\/span><span id=\"MathJax-Span-95\" class=\"mo\">+<\/span><span id=\"MathJax-Span-96\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-97\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-98\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-99\" class=\"mn\">3<\/span><span id=\"MathJax-Span-100\" class=\"mi\">b<\/span><span id=\"MathJax-Span-101\" class=\"mfenced\"><span id=\"MathJax-Span-102\" class=\"mo\">(<\/span><span id=\"MathJax-Span-103\" class=\"mrow\"><span id=\"MathJax-Span-104\" class=\"mi\">x<\/span><span id=\"MathJax-Span-105\" class=\"mo\">+<\/span><span id=\"MathJax-Span-106\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-107\" class=\"mo\">) <\/span><\/span><span id=\"MathJax-Span-108\" class=\"mspace\"><\/span><span id=\"MathJax-Span-109\" class=\"mo\">= <\/span><span id=\"MathJax-Span-110\" class=\"mfenced\"><span id=\"MathJax-Span-111\" class=\"mo\">(<\/span><span id=\"MathJax-Span-112\" class=\"mrow\"><span id=\"MathJax-Span-113\" class=\"mi\">x<\/span><span id=\"MathJax-Span-114\" class=\"mo\">+<\/span><span id=\"MathJax-Span-115\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-116\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-117\" class=\"mfenced\"><span id=\"MathJax-Span-118\" class=\"mo\">(<\/span><span id=\"MathJax-Span-119\" class=\"mrow\"><span id=\"MathJax-Span-120\" class=\"mn\">2<\/span><span id=\"MathJax-Span-121\" class=\"mi\">a<\/span><span id=\"MathJax-Span-122\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-123\" class=\"mn\">3<\/span><span id=\"MathJax-Span-124\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-125\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-5\"><\/span>Question 5:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>2<em>x<\/em>(<em>p<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>q<\/em><sup>2<\/sup>) + 4<em>y<\/em>(<em>p<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>q<\/em><sup>2<\/sup>)<\/p>\n<\/div>\n<div id=\"quesA5\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-6\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-5-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>2<\/mn><mi>x<\/mi><mfenced><mrow><msup><mi>p<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>q<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mn>4<\/mn><mi>y<\/mi><mfenced><mrow><msup><mi>p<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>q<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mn>2<\/mn><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><mi>x<\/mi><mfenced><mrow><msup><mi>p<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>q<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><mfenced><mrow><msup><mi>p<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>q<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mn>2<\/mn><mfenced><mrow><msup><mi>p<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>q<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><\/math>&#8220;><span id=\"MathJax-Span-126\" class=\"math\"><span id=\"MathJax-Span-127\" class=\"mrow\"><span id=\"MathJax-Span-128\" class=\"mn\">2<\/span><span id=\"MathJax-Span-129\" class=\"mi\">x<\/span><span id=\"MathJax-Span-130\" class=\"mfenced\"><span id=\"MathJax-Span-141\" class=\"mo\">(<\/span><span id=\"MathJax-Span-132\" class=\"mrow\"><span id=\"MathJax-Span-133\" class=\"msup\"><span id=\"MathJax-Span-134\" class=\"mi\">p<\/span><span id=\"MathJax-Span-135\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-136\" class=\"mo\">+<\/span><span id=\"MathJax-Span-137\" class=\"msup\"><span id=\"MathJax-Span-138\" class=\"mi\">q<\/span><span id=\"MathJax-Span-139\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-142\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-143\" class=\"mo\">+<\/span><span id=\"MathJax-Span-144\" class=\"mn\">4<\/span><span id=\"MathJax-Span-145\" class=\"mi\">y<\/span><span id=\"MathJax-Span-146\" class=\"mfenced\"><span id=\"MathJax-Span-147\" class=\"mo\">(<\/span><span id=\"MathJax-Span-148\" class=\"mrow\"><span id=\"MathJax-Span-149\" class=\"msup\"><span id=\"MathJax-Span-150\" class=\"mi\">p<\/span><span id=\"MathJax-Span-151\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-152\" class=\"mo\">+<\/span><span id=\"MathJax-Span-153\" class=\"msup\"><span id=\"MathJax-Span-154\" class=\"mi\">q<\/span><span id=\"MathJax-Span-155\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-156\" class=\"mo\">) <\/span><\/span><span id=\"MathJax-Span-157\" class=\"mspace\"><\/span><span id=\"MathJax-Span-158\" class=\"mspace\"><\/span><span id=\"MathJax-Span-159\" class=\"mo\">= <\/span><span id=\"MathJax-Span-160\" class=\"mn\">2<\/span><span id=\"MathJax-Span-161\" class=\"mfenced\"><span id=\"MathJax-Span-162\" class=\"mo\">[<\/span><span id=\"MathJax-Span-163\" class=\"mrow\"><span id=\"MathJax-Span-164\" class=\"mi\">x<\/span><span id=\"MathJax-Span-165\" class=\"mfenced\"><span id=\"MathJax-Span-166\" class=\"mo\">(<\/span><span id=\"MathJax-Span-167\" class=\"mrow\"><span id=\"MathJax-Span-168\" class=\"msup\"><span id=\"MathJax-Span-169\" class=\"mi\">p<\/span><span id=\"MathJax-Span-170\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-171\" class=\"mo\">+<\/span><span id=\"MathJax-Span-172\" class=\"msup\"><span id=\"MathJax-Span-173\" class=\"mi\">q<\/span><span id=\"MathJax-Span-174\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-175\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-176\" class=\"mo\">+<\/span><span id=\"MathJax-Span-177\" class=\"mn\">2<\/span><span id=\"MathJax-Span-178\" class=\"mi\">y<\/span><span id=\"MathJax-Span-179\" class=\"mfenced\"><span id=\"MathJax-Span-180\" class=\"mo\">(<\/span><span id=\"MathJax-Span-181\" class=\"mrow\"><span id=\"MathJax-Span-182\" class=\"msup\"><span id=\"MathJax-Span-183\" class=\"mi\">p<\/span><span id=\"MathJax-Span-184\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-185\" class=\"mo\">+<\/span><span id=\"MathJax-Span-186\" class=\"msup\"><span id=\"MathJax-Span-187\" class=\"mi\">q<\/span><span id=\"MathJax-Span-188\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-189\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-190\" class=\"mo\">] <\/span><\/span><span id=\"MathJax-Span-191\" class=\"mspace\"><\/span><span id=\"MathJax-Span-192\" class=\"mspace\"><\/span><span id=\"MathJax-Span-193\" class=\"mo\">= <\/span><span id=\"MathJax-Span-194\" class=\"mn\">2<\/span><span id=\"MathJax-Span-195\" class=\"mfenced\"><span id=\"MathJax-Span-196\" class=\"mo\">(<\/span><span id=\"MathJax-Span-197\" class=\"mrow\"><span id=\"MathJax-Span-198\" class=\"msup\"><span id=\"MathJax-Span-199\" class=\"mi\">p<\/span><span id=\"MathJax-Span-200\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-201\" class=\"mo\">+<\/span><span id=\"MathJax-Span-202\" class=\"msup\"><span id=\"MathJax-Span-203\" class=\"mi\">q<\/span><span id=\"MathJax-Span-204\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-205\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-206\" class=\"mfenced\"><span id=\"MathJax-Span-207\" class=\"mo\">(<\/span><span id=\"MathJax-Span-208\" class=\"mrow\"><span id=\"MathJax-Span-209\" class=\"mi\">x<\/span><span id=\"MathJax-Span-210\" class=\"mo\">+<\/span><span id=\"MathJax-Span-211\" class=\"mn\">2<\/span><span id=\"MathJax-Span-212\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-213\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-214\" class=\"mspace\"><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-6\"><\/span>Question 6:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>x<\/em>(<em>a<\/em>&nbsp;\u2212 5) +&nbsp;<em>y<\/em>(5 \u2212&nbsp;<em>a<\/em>)<\/p>\n<\/div>\n<div id=\"quesA6\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-7\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mi>x<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><mo>+<\/mo><mi>y<\/mi><mfenced><mrow><mn>5<\/mn><mo>&#8211;<\/mo><mi>a<\/mi><\/mrow><\/mfenced><mo>=<\/mo><mi>x<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><mo>&#8211;<\/mo><mi>y<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-215\" class=\"math\"><span id=\"MathJax-Span-216\" class=\"mrow\"><span id=\"MathJax-Span-217\" class=\"mi\">x<\/span><span id=\"MathJax-Span-218\" class=\"mfenced\"><span id=\"MathJax-Span-219\" class=\"mo\">(<\/span><span id=\"MathJax-Span-220\" class=\"mrow\"><span id=\"MathJax-Span-221\" class=\"mi\">a<\/span><span id=\"MathJax-Span-222\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-223\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-224\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-225\" class=\"mo\">+<\/span><span id=\"MathJax-Span-226\" class=\"mi\">y<\/span><span id=\"MathJax-Span-227\" class=\"mfenced\"><span id=\"MathJax-Span-228\" class=\"mo\">(<\/span><span id=\"MathJax-Span-229\" class=\"mrow\"><span id=\"MathJax-Span-230\" class=\"mn\">5<\/span><span id=\"MathJax-Span-231\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-232\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-233\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-234\" class=\"mo\">=<\/span><span id=\"MathJax-Span-235\" class=\"mi\">x<\/span><span id=\"MathJax-Span-236\" class=\"mfenced\"><span id=\"MathJax-Span-237\" class=\"mo\">(<\/span><span id=\"MathJax-Span-238\" class=\"mrow\"><span id=\"MathJax-Span-239\" class=\"mi\">a<\/span><span id=\"MathJax-Span-240\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-241\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-242\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-243\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-244\" class=\"mi\">y<\/span><span id=\"MathJax-Span-245\" class=\"mfenced\"><span id=\"MathJax-Span-246\" class=\"mo\">(<\/span><span id=\"MathJax-Span-247\" class=\"mrow\"><span id=\"MathJax-Span-248\" class=\"mi\">a<\/span><span id=\"MathJax-Span-249\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-250\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-251\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">xa-5+y5-a=xa-5-ya-5<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mi>y<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-252\" class=\"math\"><span id=\"MathJax-Span-253\" class=\"mrow\"><span id=\"MathJax-Span-254\" class=\"mo\">=<\/span><span id=\"MathJax-Span-255\" class=\"mfenced\"><span id=\"MathJax-Span-256\" class=\"mo\">(<\/span><span id=\"MathJax-Span-257\" class=\"mrow\"><span id=\"MathJax-Span-258\" class=\"mi\">a<\/span><span id=\"MathJax-Span-259\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-260\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-261\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-262\" class=\"mfenced\"><span id=\"MathJax-Span-263\" class=\"mo\">(<\/span><span id=\"MathJax-Span-264\" class=\"mrow\"><span id=\"MathJax-Span-265\" class=\"mi\">x<\/span><span id=\"MathJax-Span-266\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-267\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-268\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-7\"><\/span>Question 7:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>4(<em>a<\/em>&nbsp;+&nbsp;<em>b<\/em>) \u2212 6(<em>a<\/em>&nbsp;+&nbsp;<em>b<\/em>)<sup>2<\/sup><\/p>\n<\/div>\n<div id=\"quesA7\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-8\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>4<\/mn><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>6<\/mn><msup><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>=<\/mo><mn>2<\/mn><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><mn>2<\/mn><mo>&#8211;<\/mo><mn>3<\/mn><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-269\" class=\"math\"><span id=\"MathJax-Span-270\" class=\"mrow\"><span id=\"MathJax-Span-271\" class=\"mn\">4<\/span><span id=\"MathJax-Span-272\" class=\"mfenced\"><span id=\"MathJax-Span-273\" class=\"mo\">(<\/span><span id=\"MathJax-Span-274\" class=\"mrow\"><span id=\"MathJax-Span-275\" class=\"mi\">a<\/span><span id=\"MathJax-Span-276\" class=\"mo\">+<\/span><span id=\"MathJax-Span-277\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-278\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-279\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-280\" class=\"mn\">6<\/span><span id=\"MathJax-Span-281\" class=\"msup\"><span id=\"MathJax-Span-282\" class=\"mfenced\"><span id=\"MathJax-Span-283\" class=\"mo\">(<\/span><span id=\"MathJax-Span-284\" class=\"mrow\"><span id=\"MathJax-Span-285\" class=\"mi\">a<\/span><span id=\"MathJax-Span-286\" class=\"mo\">+<\/span><span id=\"MathJax-Span-287\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-288\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-289\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-290\" class=\"mo\">=<\/span><span id=\"MathJax-Span-291\" class=\"mn\">2<\/span><span id=\"MathJax-Span-292\" class=\"mfenced\"><span id=\"MathJax-Span-293\" class=\"mo\">(<\/span><span id=\"MathJax-Span-294\" class=\"mrow\"><span id=\"MathJax-Span-295\" class=\"mi\">a<\/span><span id=\"MathJax-Span-296\" class=\"mo\">+<\/span><span id=\"MathJax-Span-297\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-298\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-299\" class=\"mfenced\"><span id=\"MathJax-Span-300\" class=\"mo\">[<\/span><span id=\"MathJax-Span-301\" class=\"mrow\"><span id=\"MathJax-Span-302\" class=\"mn\">2<\/span><span id=\"MathJax-Span-303\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-304\" class=\"mn\">3<\/span><span id=\"MathJax-Span-305\" class=\"mfenced\"><span id=\"MathJax-Span-306\" class=\"mo\">(<\/span><span id=\"MathJax-Span-307\" class=\"mrow\"><span id=\"MathJax-Span-308\" class=\"mi\">a<\/span><span id=\"MathJax-Span-309\" class=\"mo\">+<\/span><span id=\"MathJax-Span-310\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-311\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-312\" class=\"mo\">]<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">4a+b-6a+b2=2a+b2-3a+b<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mn>2<\/mn><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mfenced><mrow><mn>2<\/mn><mo>&#8211;<\/mo><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><mi>b<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-313\" class=\"math\"><span id=\"MathJax-Span-314\" class=\"mrow\"><span id=\"MathJax-Span-315\" class=\"mo\">=<\/span><span id=\"MathJax-Span-316\" class=\"mn\">2<\/span><span id=\"MathJax-Span-317\" class=\"mfenced\"><span id=\"MathJax-Span-318\" class=\"mo\">(<\/span><span id=\"MathJax-Span-319\" class=\"mrow\"><span id=\"MathJax-Span-320\" class=\"mi\">a<\/span><span id=\"MathJax-Span-321\" class=\"mo\">+<\/span><span id=\"MathJax-Span-322\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-323\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-324\" class=\"mfenced\"><span id=\"MathJax-Span-325\" class=\"mo\">(<\/span><span id=\"MathJax-Span-326\" class=\"mrow\"><span id=\"MathJax-Span-327\" class=\"mn\">2<\/span><span id=\"MathJax-Span-328\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-329\" class=\"mn\">3<\/span><span id=\"MathJax-Span-330\" class=\"mi\">a<\/span><span id=\"MathJax-Span-331\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-332\" class=\"mn\">3<\/span><span id=\"MathJax-Span-333\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-334\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-8\"><\/span>Question 8:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>8(3<em>a<\/em>&nbsp;\u2212 2<em>b<\/em>)<sup>2<\/sup>&nbsp;\u2212 10(3<em>a<\/em>&nbsp;\u2212 2<em>b<\/em>)<\/p>\n<\/div>\n<div id=\"quesA8\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-9\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-10-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>8<\/mn><msup><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>10<\/mn><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mo>=<\/mo><mn>2<\/mn><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><mn>4<\/mn><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-335\" class=\"math\"><span id=\"MathJax-Span-336\" class=\"mrow\"><span id=\"MathJax-Span-337\" class=\"mn\">8<\/span><span id=\"MathJax-Span-338\" class=\"msup\"><span id=\"MathJax-Span-339\" class=\"mfenced\"><span id=\"MathJax-Span-340\" class=\"mo\">(<\/span><span id=\"MathJax-Span-341\" class=\"mrow\"><span id=\"MathJax-Span-342\" class=\"mn\">3<\/span><span id=\"MathJax-Span-343\" class=\"mi\">a<\/span><span id=\"MathJax-Span-344\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-345\" class=\"mn\">2<\/span><span id=\"MathJax-Span-346\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-347\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-348\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-349\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-350\" class=\"mn\">10<\/span><span id=\"MathJax-Span-351\" class=\"mfenced\"><span id=\"MathJax-Span-352\" class=\"mo\">(<\/span><span id=\"MathJax-Span-353\" class=\"mrow\"><span id=\"MathJax-Span-354\" class=\"mn\">3<\/span><span id=\"MathJax-Span-355\" class=\"mi\">a<\/span><span id=\"MathJax-Span-356\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-357\" class=\"mn\">2<\/span><span id=\"MathJax-Span-358\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-359\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-360\" class=\"mo\">=<\/span><span id=\"MathJax-Span-361\" class=\"mn\">2<\/span><span id=\"MathJax-Span-362\" class=\"mfenced\"><span id=\"MathJax-Span-363\" class=\"mo\">(<\/span><span id=\"MathJax-Span-364\" class=\"mrow\"><span id=\"MathJax-Span-365\" class=\"mn\">3<\/span><span id=\"MathJax-Span-366\" class=\"mi\">a<\/span><span id=\"MathJax-Span-367\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-368\" class=\"mn\">2<\/span><span id=\"MathJax-Span-369\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-370\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-371\" class=\"mfenced\"><span id=\"MathJax-Span-372\" class=\"mo\">[<\/span><span id=\"MathJax-Span-373\" class=\"mrow\"><span id=\"MathJax-Span-374\" class=\"mn\">4<\/span><span id=\"MathJax-Span-375\" class=\"mfenced\"><span id=\"MathJax-Span-376\" class=\"mo\">(<\/span><span id=\"MathJax-Span-377\" class=\"mrow\"><span id=\"MathJax-Span-378\" class=\"mn\">3<\/span><span id=\"MathJax-Span-379\" class=\"mi\">a<\/span><span id=\"MathJax-Span-380\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-381\" class=\"mn\">2<\/span><span id=\"MathJax-Span-382\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-383\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-384\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-385\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-386\" class=\"mo\">]<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">83a-2b2-103a-2b=23a-2b43a-2b-5<\/span><\/span><br>&nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-11-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mn>2<\/mn><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mfenced><mrow><mn>12<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>8<\/mn><mi>b<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-387\" class=\"math\"><span id=\"MathJax-Span-388\" class=\"mrow\"><span id=\"MathJax-Span-389\" class=\"mo\">=<\/span><span id=\"MathJax-Span-390\" class=\"mn\">2<\/span><span id=\"MathJax-Span-391\" class=\"mfenced\"><span id=\"MathJax-Span-392\" class=\"mo\">(<\/span><span id=\"MathJax-Span-393\" class=\"mrow\"><span id=\"MathJax-Span-394\" class=\"mn\">3<\/span><span id=\"MathJax-Span-395\" class=\"mi\">a<\/span><span id=\"MathJax-Span-396\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-397\" class=\"mn\">2<\/span><span id=\"MathJax-Span-398\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-399\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-400\" class=\"mfenced\"><span id=\"MathJax-Span-401\" class=\"mo\">(<\/span><span id=\"MathJax-Span-402\" class=\"mrow\"><span id=\"MathJax-Span-403\" class=\"mn\">12<\/span><span id=\"MathJax-Span-404\" class=\"mi\">a<\/span><span id=\"MathJax-Span-405\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-406\" class=\"mn\">8<\/span><span id=\"MathJax-Span-407\" class=\"mi\">b<\/span><span id=\"MathJax-Span-408\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-409\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-410\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-9\"><\/span>Question 9:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>x<\/em>(<em>x<\/em>&nbsp;+&nbsp;<em>y<\/em>)<sup>3<\/sup>&nbsp;\u2212 3<em>x<\/em><sup>2<\/sup><em>y<\/em>(<em>x<\/em>&nbsp;+&nbsp;<em>y<\/em>)<\/p>\n<\/div>\n<div id=\"quesA9\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-10\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-12-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mi>x<\/mi><msup><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><mn>3<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mi>y<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mo>=<\/mo><mi>x<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><msup><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>3<\/mn><mi>x<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><\/math>&#8220;><span id=\"MathJax-Span-411\" class=\"math\"><span id=\"MathJax-Span-412\" class=\"mrow\"><span id=\"MathJax-Span-413\" class=\"mi\">x<\/span><span id=\"MathJax-Span-414\" class=\"msup\"><span id=\"MathJax-Span-415\" class=\"mfenced\"><span id=\"MathJax-Span-462\" class=\"mo\">(<\/span><span id=\"MathJax-Span-417\" class=\"mrow\"><span id=\"MathJax-Span-418\" class=\"mi\">x<\/span><span id=\"MathJax-Span-419\" class=\"mo\">+<\/span><span id=\"MathJax-Span-420\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-463\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-422\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-423\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-424\" class=\"mn\">3<\/span><span id=\"MathJax-Span-425\" class=\"msup\"><span id=\"MathJax-Span-426\" class=\"mi\">x<\/span><span id=\"MathJax-Span-427\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-428\" class=\"mi\">y<\/span><span id=\"MathJax-Span-429\" class=\"mfenced\"><span id=\"MathJax-Span-464\" class=\"mo\">(<\/span><span id=\"MathJax-Span-431\" class=\"mrow\"><span id=\"MathJax-Span-432\" class=\"mi\">x<\/span><span id=\"MathJax-Span-433\" class=\"mo\">+<\/span><span id=\"MathJax-Span-434\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-465\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-436\" class=\"mo\">=<\/span><span id=\"MathJax-Span-437\" class=\"mi\">x<\/span><span id=\"MathJax-Span-438\" class=\"mfenced\"><span id=\"MathJax-Span-466\" class=\"mo\">(<\/span><span id=\"MathJax-Span-440\" class=\"mrow\"><span id=\"MathJax-Span-441\" class=\"mi\">x<\/span><span id=\"MathJax-Span-442\" class=\"mo\">+<\/span><span id=\"MathJax-Span-443\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-467\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-445\" class=\"mfenced\"><span id=\"MathJax-Span-468\" class=\"mo\">[<\/span><span id=\"MathJax-Span-447\" class=\"mrow\"><span id=\"MathJax-Span-448\" class=\"msup\"><span id=\"MathJax-Span-449\" class=\"mfenced\"><span id=\"MathJax-Span-469\" class=\"mo\">(<\/span><span id=\"MathJax-Span-451\" class=\"mrow\"><span id=\"MathJax-Span-452\" class=\"mi\">x<\/span><span id=\"MathJax-Span-453\" class=\"mo\">+<\/span><span id=\"MathJax-Span-454\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-470\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-456\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-457\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-458\" class=\"mn\">3<\/span><span id=\"MathJax-Span-459\" class=\"mi\">x<\/span><span id=\"MathJax-Span-460\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-471\" class=\"mo\">]<\/span><\/span><span id=\"MathJax-Span-472\" class=\"mspace\"><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">xx+y3-3x2yx+y=xx+yx+y2-3xy<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-13-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mi>x<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mi>x<\/mi><mi>y<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><mi>x<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mi>x<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mi>x<\/mi><mi>y<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-473\" class=\"math\"><span id=\"MathJax-Span-474\" class=\"mrow\"><span id=\"MathJax-Span-475\" class=\"mo\">=<\/span><span id=\"MathJax-Span-476\" class=\"mi\">x<\/span><span id=\"MathJax-Span-477\" class=\"mfenced\"><span id=\"MathJax-Span-478\" class=\"mo\">(<\/span><span id=\"MathJax-Span-479\" class=\"mrow\"><span id=\"MathJax-Span-480\" class=\"mi\">x<\/span><span id=\"MathJax-Span-481\" class=\"mo\">+<\/span><span id=\"MathJax-Span-482\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-483\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-484\" class=\"mfenced\"><span id=\"MathJax-Span-485\" class=\"mo\">[<\/span><span id=\"MathJax-Span-486\" class=\"mrow\"><span id=\"MathJax-Span-487\" class=\"msup\"><span id=\"MathJax-Span-488\" class=\"mi\">x<\/span><span id=\"MathJax-Span-489\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-490\" class=\"mo\">+<\/span><span id=\"MathJax-Span-491\" class=\"msup\"><span id=\"MathJax-Span-492\" class=\"mi\">y<\/span><span id=\"MathJax-Span-493\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-494\" class=\"mo\">+<\/span><span id=\"MathJax-Span-495\" class=\"mn\">2<\/span><span id=\"MathJax-Span-496\" class=\"mi\">x<\/span><span id=\"MathJax-Span-497\" class=\"mi\">y<\/span><span id=\"MathJax-Span-498\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-499\" class=\"mn\">3<\/span><span id=\"MathJax-Span-500\" class=\"mi\">x<\/span><span id=\"MathJax-Span-501\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-502\" class=\"mo\">]<\/span><\/span><span id=\"MathJax-Span-503\" class=\"mspace\"><\/span><span id=\"MathJax-Span-504\" class=\"mo\">=<\/span><span id=\"MathJax-Span-505\" class=\"mi\">x<\/span><span id=\"MathJax-Span-506\" class=\"mfenced\"><span id=\"MathJax-Span-507\" class=\"mo\">(<\/span><span id=\"MathJax-Span-508\" class=\"mrow\"><span id=\"MathJax-Span-509\" class=\"mi\">x<\/span><span id=\"MathJax-Span-510\" class=\"mo\">+<\/span><span id=\"MathJax-Span-511\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-512\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-513\" class=\"mfenced\"><span id=\"MathJax-Span-514\" class=\"mo\">(<\/span><span id=\"MathJax-Span-515\" class=\"mrow\"><span id=\"MathJax-Span-516\" class=\"msup\"><span id=\"MathJax-Span-517\" class=\"mi\">x<\/span><span id=\"MathJax-Span-518\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-519\" class=\"mo\">+<\/span><span id=\"MathJax-Span-520\" class=\"msup\"><span id=\"MathJax-Span-521\" class=\"mi\">y<\/span><span id=\"MathJax-Span-522\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-523\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-524\" class=\"mi\">x<\/span><span id=\"MathJax-Span-525\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-526\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">=xx+yx2+y2+2xy-3xy=xx+yx2+y2-xy<\/span><\/span><\/p>\n<\/div>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-10\"><\/span>Question 10:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>x<\/em><sup>3<\/sup>&nbsp;+ 2<em>x<\/em><sup>2<\/sup>&nbsp;+ 5<em>x<\/em>&nbsp;+ 10<\/p>\n<\/div>\n<div id=\"quesA10\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-11\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-14-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>x<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>5<\/mn><mi>x<\/mi><mo>+<\/mo><mn>10<\/mn><mo>=<\/mo><mfenced><mrow><msup><mi>x<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mn>5<\/mn><mi>x<\/mi><mo>+<\/mo><mn>10<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-527\" class=\"math\"><span id=\"MathJax-Span-528\" class=\"mrow\"><span id=\"MathJax-Span-529\" class=\"msup\"><span id=\"MathJax-Span-530\" class=\"mi\">x<\/span><span id=\"MathJax-Span-531\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-532\" class=\"mo\">+<\/span><span id=\"MathJax-Span-533\" class=\"mn\">2<\/span><span id=\"MathJax-Span-534\" class=\"msup\"><span id=\"MathJax-Span-535\" class=\"mi\">x<\/span><span id=\"MathJax-Span-536\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-537\" class=\"mo\">+<\/span><span id=\"MathJax-Span-538\" class=\"mn\">5<\/span><span id=\"MathJax-Span-539\" class=\"mi\">x<\/span><span id=\"MathJax-Span-540\" class=\"mo\">+<\/span><span id=\"MathJax-Span-541\" class=\"mn\">10<\/span><span id=\"MathJax-Span-542\" class=\"mo\">=<\/span><span id=\"MathJax-Span-543\" class=\"mfenced\"><span id=\"MathJax-Span-544\" class=\"mo\">(<\/span><span id=\"MathJax-Span-545\" class=\"mrow\"><span id=\"MathJax-Span-546\" class=\"msup\"><span id=\"MathJax-Span-547\" class=\"mi\">x<\/span><span id=\"MathJax-Span-548\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-549\" class=\"mo\">+<\/span><span id=\"MathJax-Span-550\" class=\"mn\">2<\/span><span id=\"MathJax-Span-551\" class=\"msup\"><span id=\"MathJax-Span-552\" class=\"mi\">x<\/span><span id=\"MathJax-Span-553\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-554\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-555\" class=\"mo\">+<\/span><span id=\"MathJax-Span-556\" class=\"mfenced\"><span id=\"MathJax-Span-557\" class=\"mo\">(<\/span><span id=\"MathJax-Span-558\" class=\"mrow\"><span id=\"MathJax-Span-559\" class=\"mn\">5<\/span><span id=\"MathJax-Span-560\" class=\"mi\">x<\/span><span id=\"MathJax-Span-561\" class=\"mo\">+<\/span><span id=\"MathJax-Span-562\" class=\"mn\">10<\/span><\/span><span id=\"MathJax-Span-563\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">x3+2&#215;2+5x+10=x3+2&#215;2+5x+10<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-15-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><\/mrow><\/mfenced><mo>+<\/mo><mn>5<\/mn><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><\/mrow><\/mfenced><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>5<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-564\" class=\"math\"><span id=\"MathJax-Span-565\" class=\"mrow\"><span id=\"MathJax-Span-566\" class=\"mo\">=<\/span><span id=\"MathJax-Span-567\" class=\"msup\"><span id=\"MathJax-Span-568\" class=\"mi\">x<\/span><span id=\"MathJax-Span-569\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-570\" class=\"mfenced\"><span id=\"MathJax-Span-571\" class=\"mo\">(<\/span><span id=\"MathJax-Span-572\" class=\"mrow\"><span id=\"MathJax-Span-573\" class=\"mi\">x<\/span><span id=\"MathJax-Span-574\" class=\"mo\">+<\/span><span id=\"MathJax-Span-575\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-576\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-577\" class=\"mo\">+<\/span><span id=\"MathJax-Span-578\" class=\"mn\">5<\/span><span id=\"MathJax-Span-579\" class=\"mfenced\"><span id=\"MathJax-Span-580\" class=\"mo\">(<\/span><span id=\"MathJax-Span-581\" class=\"mrow\"><span id=\"MathJax-Span-582\" class=\"mi\">x<\/span><span id=\"MathJax-Span-583\" class=\"mo\">+<\/span><span id=\"MathJax-Span-584\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-585\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-586\" class=\"mspace\"><\/span><span id=\"MathJax-Span-587\" class=\"mo\">=<\/span><span id=\"MathJax-Span-588\" class=\"mfenced\"><span id=\"MathJax-Span-589\" class=\"mo\">(<\/span><span id=\"MathJax-Span-590\" class=\"mrow\"><span id=\"MathJax-Span-591\" class=\"mi\">x<\/span><span id=\"MathJax-Span-592\" class=\"mo\">+<\/span><span id=\"MathJax-Span-593\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-594\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-595\" class=\"mfenced\"><span id=\"MathJax-Span-596\" class=\"mo\">(<\/span><span id=\"MathJax-Span-597\" class=\"mrow\"><span id=\"MathJax-Span-598\" class=\"msup\"><span id=\"MathJax-Span-599\" class=\"mi\">x<\/span><span id=\"MathJax-Span-600\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-601\" class=\"mo\">+<\/span><span id=\"MathJax-Span-602\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-603\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">=x2x+2+5x+2=x+2&#215;2+5<\/span><\/span><\/p>\n<\/div>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-11\"><\/span>Question 11:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>x<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>xy<\/em>&nbsp;\u2212 2<em>xz<\/em>&nbsp;\u2212 2<em>yz<\/em><\/p>\n<\/div>\n<div id=\"quesA11\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-12\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-16-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>x<\/mi><mi>y<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>x<\/mi><mi>z<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>y<\/mi><mi>z<\/mi><mo>=<\/mo><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>x<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mi>z<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><mi>z<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>=<\/mo><mi>x<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>2<\/mn><mi>z<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>=<\/mo><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>z<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-604\" class=\"math\"><span id=\"MathJax-Span-605\" class=\"mrow\"><span id=\"MathJax-Span-606\" class=\"msup\"><span id=\"MathJax-Span-607\" class=\"mi\">x<\/span><span id=\"MathJax-Span-608\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-609\" class=\"mo\">+<\/span><span id=\"MathJax-Span-610\" class=\"mi\">x<\/span><span id=\"MathJax-Span-611\" class=\"mi\">y<\/span><span id=\"MathJax-Span-612\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-613\" class=\"mn\">2<\/span><span id=\"MathJax-Span-614\" class=\"mi\">x<\/span><span id=\"MathJax-Span-615\" class=\"mi\">z<\/span><span id=\"MathJax-Span-616\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-617\" class=\"mn\">2<\/span><span id=\"MathJax-Span-618\" class=\"mi\">y<\/span><span id=\"MathJax-Span-619\" class=\"mi\">z<\/span><span id=\"MathJax-Span-620\" class=\"mo\">=<\/span><span id=\"MathJax-Span-621\" class=\"mfenced\"><span id=\"MathJax-Span-622\" class=\"mo\">(<\/span><span id=\"MathJax-Span-623\" class=\"mrow\"><span id=\"MathJax-Span-624\" class=\"msup\"><span id=\"MathJax-Span-625\" class=\"mi\">x<\/span><span id=\"MathJax-Span-626\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-627\" class=\"mo\">+<\/span><span id=\"MathJax-Span-628\" class=\"mi\">x<\/span><span id=\"MathJax-Span-629\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-630\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-631\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-632\" class=\"mfenced\"><span id=\"MathJax-Span-633\" class=\"mo\">(<\/span><span id=\"MathJax-Span-634\" class=\"mrow\"><span id=\"MathJax-Span-635\" class=\"mn\">2<\/span><span id=\"MathJax-Span-636\" class=\"mi\">x<\/span><span id=\"MathJax-Span-637\" class=\"mi\">z<\/span><span id=\"MathJax-Span-638\" class=\"mo\">+<\/span><span id=\"MathJax-Span-639\" class=\"mn\">2<\/span><span id=\"MathJax-Span-640\" class=\"mi\">y<\/span><span id=\"MathJax-Span-641\" class=\"mi\">z<\/span><\/span><span id=\"MathJax-Span-642\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-643\" class=\"mspace\"><\/span><span id=\"MathJax-Span-644\" class=\"mspace\"><\/span><span id=\"MathJax-Span-645\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-646\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-647\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-648\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-649\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-650\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-651\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-652\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-653\" class=\"mo\"> <\/span><span id=\"MathJax-Span-672\" class=\"mo\">=<\/span><span id=\"MathJax-Span-673\" class=\"mi\">x<\/span><span id=\"MathJax-Span-674\" class=\"mfenced\"><span id=\"MathJax-Span-675\" class=\"mo\">(<\/span><span id=\"MathJax-Span-676\" class=\"mrow\"><span id=\"MathJax-Span-677\" class=\"mi\">x<\/span><span id=\"MathJax-Span-678\" class=\"mo\">+<\/span><span id=\"MathJax-Span-679\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-680\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-681\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-682\" class=\"mn\">2<\/span><span id=\"MathJax-Span-683\" class=\"mi\">z<\/span><span id=\"MathJax-Span-684\" class=\"mfenced\"><span id=\"MathJax-Span-685\" class=\"mo\">(<\/span><span id=\"MathJax-Span-686\" class=\"mrow\"><span id=\"MathJax-Span-687\" class=\"mi\">x<\/span><span id=\"MathJax-Span-688\" class=\"mo\">+<\/span><span id=\"MathJax-Span-689\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-690\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-691\" class=\"mspace\"><\/span><span id=\"MathJax-Span-692\" class=\"mspace\"><\/span><span id=\"MathJax-Span-693\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-694\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-695\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-696\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-697\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-698\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-699\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-700\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-701\" class=\"mo\"> <\/span><span id=\"MathJax-Span-720\" class=\"mo\">=<\/span><span id=\"MathJax-Span-721\" class=\"mfenced\"><span id=\"MathJax-Span-722\" class=\"mo\">(<\/span><span id=\"MathJax-Span-723\" class=\"mrow\"><span id=\"MathJax-Span-724\" class=\"mi\">x<\/span><span id=\"MathJax-Span-725\" class=\"mo\">+<\/span><span id=\"MathJax-Span-726\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-727\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-728\" class=\"mfenced\"><span id=\"MathJax-Span-729\" class=\"mo\">(<\/span><span id=\"MathJax-Span-730\" class=\"mrow\"><span id=\"MathJax-Span-731\" class=\"mi\">x<\/span><span id=\"MathJax-Span-732\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-733\" class=\"mn\">2<\/span><span id=\"MathJax-Span-734\" class=\"mi\">z<\/span><\/span><span id=\"MathJax-Span-735\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">x2+xy-2xz-2yz=x2+xy-2xz+2yz&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/span><\/span><\/p>\n<p><span id=\"MathJax-Element-16-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>x<\/mi><mi>y<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>x<\/mi><mi>z<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>y<\/mi><mi>z<\/mi><mo>=<\/mo><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>x<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mi>z<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><mi>z<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>=<\/mo><mi>x<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>2<\/mn><mi>z<\/mi><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>=<\/mo><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>z<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span class=\"MJX_Assistive_MathML\" role=\"presentation\">&nbsp;=xx+y-2zx+y&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=x+yx-2z<\/span><\/span><\/p>\n<\/div>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-12\"><\/span>Question 12:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>a<\/em><sup>3<\/sup><em>b<\/em>&nbsp;\u2212&nbsp;<em>a<\/em><sup>2<\/sup><em>b<\/em>&nbsp;+ 5<em>ab<\/em>&nbsp;\u2212 5<em>b<\/em><\/p>\n<\/div>\n<div id=\"quesA12\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-13\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-17-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mi>b<\/mi><mo>&#8211;<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mi>b<\/mi><mo>+<\/mo><mn>5<\/mn><mi>a<\/mi><mi>b<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><mi>b<\/mi><mo>=<\/mo><mi>b<\/mi><mfenced><mrow><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>5<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>=<\/mo><mi>b<\/mi><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><mfenced><mrow><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mn>5<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-736\" class=\"math\"><span id=\"MathJax-Span-737\" class=\"mrow\"><span id=\"MathJax-Span-738\" class=\"msup\"><span id=\"MathJax-Span-739\" class=\"mi\">a<\/span><span id=\"MathJax-Span-740\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-741\" class=\"mi\">b<\/span><span id=\"MathJax-Span-742\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-743\" class=\"msup\"><span id=\"MathJax-Span-744\" class=\"mi\">a<\/span><span id=\"MathJax-Span-745\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-746\" class=\"mi\">b<\/span><span id=\"MathJax-Span-747\" class=\"mo\">+<\/span><span id=\"MathJax-Span-748\" class=\"mn\">5<\/span><span id=\"MathJax-Span-749\" class=\"mi\">a<\/span><span id=\"MathJax-Span-750\" class=\"mi\">b<\/span><span id=\"MathJax-Span-751\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-752\" class=\"mn\">5<\/span><span id=\"MathJax-Span-753\" class=\"mi\">b<\/span><span id=\"MathJax-Span-754\" class=\"mo\">=<\/span><span id=\"MathJax-Span-755\" class=\"mi\">b<\/span><span id=\"MathJax-Span-756\" class=\"mfenced\"><span id=\"MathJax-Span-757\" class=\"mo\">(<\/span><span id=\"MathJax-Span-758\" class=\"mrow\"><span id=\"MathJax-Span-759\" class=\"msup\"><span id=\"MathJax-Span-760\" class=\"mi\">a<\/span><span id=\"MathJax-Span-761\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-762\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-763\" class=\"msup\"><span id=\"MathJax-Span-764\" class=\"mi\">a<\/span><span id=\"MathJax-Span-765\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-766\" class=\"mo\">+<\/span><span id=\"MathJax-Span-767\" class=\"mn\">5<\/span><span id=\"MathJax-Span-768\" class=\"mi\">a<\/span><span id=\"MathJax-Span-769\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-770\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-771\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-772\" class=\"mspace\"><\/span><span id=\"MathJax-Span-773\" class=\"mspace\"><\/span><span id=\"MathJax-Span-774\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-775\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-776\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-777\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-778\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-779\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-780\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-781\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-782\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-783\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-784\" class=\"mo\"> <\/span><span id=\"MathJax-Span-804\" class=\"mo\">=<\/span><span id=\"MathJax-Span-805\" class=\"mi\">b<\/span><span id=\"MathJax-Span-806\" class=\"mfenced\"><span id=\"MathJax-Span-807\" class=\"mo\">[<\/span><span id=\"MathJax-Span-808\" class=\"mrow\"><span id=\"MathJax-Span-809\" class=\"mfenced\"><span id=\"MathJax-Span-810\" class=\"mo\">(<\/span><span id=\"MathJax-Span-811\" class=\"mrow\"><span id=\"MathJax-Span-812\" class=\"msup\"><span id=\"MathJax-Span-813\" class=\"mi\">a<\/span><span id=\"MathJax-Span-814\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-815\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-816\" class=\"msup\"><span id=\"MathJax-Span-817\" class=\"mi\">a<\/span><span id=\"MathJax-Span-818\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-819\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-820\" class=\"mo\">+<\/span><span id=\"MathJax-Span-821\" class=\"mfenced\"><span id=\"MathJax-Span-822\" class=\"mo\">(<\/span><span id=\"MathJax-Span-823\" class=\"mrow\"><span id=\"MathJax-Span-824\" class=\"mn\">5<\/span><span id=\"MathJax-Span-825\" class=\"mi\">a<\/span><span id=\"MathJax-Span-826\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-827\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-828\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-829\" class=\"mo\">]<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">a3b-a2b+5ab-5b=ba3-a2+5a-5&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =ba3-a2+5a-5<\/span><\/span><br><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-18-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mi>b<\/mi><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mo>+<\/mo><mn>5<\/mn><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mi>b<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>5<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-830\" class=\"math\"><span id=\"MathJax-Span-831\" class=\"mrow\"><span id=\"MathJax-Span-832\" class=\"mo\">=<\/span><span id=\"MathJax-Span-833\" class=\"mi\">b<\/span><span id=\"MathJax-Span-834\" class=\"mfenced\"><span id=\"MathJax-Span-835\" class=\"mo\">[<\/span><span id=\"MathJax-Span-836\" class=\"mrow\"><span id=\"MathJax-Span-837\" class=\"msup\"><span id=\"MathJax-Span-838\" class=\"mi\">a<\/span><span id=\"MathJax-Span-839\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-840\" class=\"mfenced\"><span id=\"MathJax-Span-841\" class=\"mo\">(<\/span><span id=\"MathJax-Span-842\" class=\"mrow\"><span id=\"MathJax-Span-843\" class=\"mi\">a<\/span><span id=\"MathJax-Span-844\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-845\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-846\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-847\" class=\"mo\">+<\/span><span id=\"MathJax-Span-848\" class=\"mn\">5<\/span><span id=\"MathJax-Span-849\" class=\"mfenced\"><span id=\"MathJax-Span-850\" class=\"mo\">(<\/span><span id=\"MathJax-Span-851\" class=\"mrow\"><span id=\"MathJax-Span-852\" class=\"mi\">a<\/span><span id=\"MathJax-Span-853\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-854\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-855\" class=\"mo\">)<\/span><\/span><\/span><span id=\"MathJax-Span-856\" class=\"mo\">]<\/span><\/span><span id=\"MathJax-Span-857\" class=\"mspace\"><\/span><span id=\"MathJax-Span-858\" class=\"mspace\"><\/span><span id=\"MathJax-Span-859\" class=\"mo\">=<\/span><span id=\"MathJax-Span-860\" class=\"mi\">b<\/span><span id=\"MathJax-Span-861\" class=\"mfenced\"><span id=\"MathJax-Span-862\" class=\"mo\">(<\/span><span id=\"MathJax-Span-863\" class=\"mrow\"><span id=\"MathJax-Span-864\" class=\"mi\">a<\/span><span id=\"MathJax-Span-865\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-866\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-867\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-868\" class=\"mfenced\"><span id=\"MathJax-Span-869\" class=\"mo\">(<\/span><span id=\"MathJax-Span-870\" class=\"mrow\"><span id=\"MathJax-Span-871\" class=\"msup\"><span id=\"MathJax-Span-872\" class=\"mi\">a<\/span><span id=\"MathJax-Span-873\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-874\" class=\"mo\">+<\/span><span id=\"MathJax-Span-875\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-876\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">=ba2a-1+5a-1=ba-1a2+5<\/span><\/span><\/p>\n<\/div>\n<h4 class=\"pageClass\"><span class=\"ez-toc-section\" id=\"i\"><\/span>&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-13\"><\/span>Question 13:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>8 \u2212 4<em>a<\/em>&nbsp;\u2212 2<em>a<\/em><sup>3<\/sup>&nbsp;+&nbsp;<em>a<\/em><sup>4<\/sup><\/p>\n<\/div>\n<div id=\"quesA13\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-14\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-19-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>8<\/mn><mo>&#8211;<\/mo><mn>4<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><msup><mi>a<\/mi><mn>4<\/mn><\/msup><mo>=<\/mo><mo>&amp;#xA0;<\/mo><mfenced><mrow><mn>8<\/mn><mo>&#8211;<\/mo><mn>4<\/mn><mi>a<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced><mrow><mn>2<\/mn><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><msup><mi>a<\/mi><mn>4<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>=<\/mo><mo>&amp;#xA0;<\/mo><mn>4<\/mn><mfenced><mrow><mn>2<\/mn><mo>&#8211;<\/mo><mi>a<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mo>&amp;#xA0;<\/mo><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mfenced><mrow><mn>2<\/mn><mo>&#8211;<\/mo><mi>a<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mspace linebreak=&quot;newline&quot; \/><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>&amp;#xA0;<\/mo><mo>=<\/mo><mo>&amp;#xA0;<\/mo><mfenced><mrow><mn>2<\/mn><mo>&#8211;<\/mo><mi>a<\/mi><\/mrow><\/mfenced><mo>&amp;#xA0;<\/mo><mfenced><mrow><mn>4<\/mn><mo>&amp;#xA0;<\/mo><mo>&#8211;<\/mo><mo>&amp;#xA0;<\/mo><msup><mi>a<\/mi><mn>3<\/mn><\/msup><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-877\" class=\"math\"><span id=\"MathJax-Span-878\" class=\"mrow\"><span id=\"MathJax-Span-879\" class=\"mn\">8<\/span><span id=\"MathJax-Span-880\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-881\" class=\"mn\">4<\/span><span id=\"MathJax-Span-882\" class=\"mi\">a<\/span><span id=\"MathJax-Span-883\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-884\" class=\"mn\">2<\/span><span id=\"MathJax-Span-885\" class=\"msup\"><span id=\"MathJax-Span-886\" class=\"mi\">a<\/span><span id=\"MathJax-Span-887\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-888\" class=\"mo\">+<\/span><span id=\"MathJax-Span-889\" class=\"msup\"><span id=\"MathJax-Span-890\" class=\"mi\">a<\/span><span id=\"MathJax-Span-891\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-892\" class=\"mo\">=<\/span><span id=\"MathJax-Span-893\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-894\" class=\"mfenced\"><span id=\"MathJax-Span-895\" class=\"mo\">(<\/span><span id=\"MathJax-Span-896\" class=\"mrow\"><span id=\"MathJax-Span-897\" class=\"mn\">8<\/span><span id=\"MathJax-Span-898\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-899\" class=\"mn\">4<\/span><span id=\"MathJax-Span-900\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-901\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-902\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-903\" class=\"mfenced\"><span id=\"MathJax-Span-904\" class=\"mo\">(<\/span><span id=\"MathJax-Span-905\" class=\"mrow\"><span id=\"MathJax-Span-906\" class=\"mn\">2<\/span><span id=\"MathJax-Span-907\" class=\"msup\"><span id=\"MathJax-Span-908\" class=\"mi\">a<\/span><span id=\"MathJax-Span-909\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-910\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-911\" class=\"msup\"><span id=\"MathJax-Span-912\" class=\"mi\">a<\/span><span id=\"MathJax-Span-913\" class=\"mn\">4<\/span><\/span><\/span><span id=\"MathJax-Span-914\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-915\" class=\"mspace\"><\/span><span id=\"MathJax-Span-916\" class=\"mspace\"><\/span><span id=\"MathJax-Span-917\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-918\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-919\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-920\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-921\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-922\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-923\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-924\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-925\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-926\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-927\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-928\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-929\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-930\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-931\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-932\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-933\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-934\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-935\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-936\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-937\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-938\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-939\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-940\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-941\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-942\" class=\"mo\">=<\/span><span id=\"MathJax-Span-943\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-944\" class=\"mn\">4<\/span><span id=\"MathJax-Span-945\" class=\"mfenced\"><span id=\"MathJax-Span-946\" class=\"mo\">(<\/span><span id=\"MathJax-Span-947\" class=\"mrow\"><span id=\"MathJax-Span-948\" class=\"mn\">2<\/span><span id=\"MathJax-Span-949\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-950\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-951\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-952\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-953\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-954\" class=\"msup\"><span id=\"MathJax-Span-955\" class=\"mi\">a<\/span><span id=\"MathJax-Span-956\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-957\" class=\"mfenced\"><span id=\"MathJax-Span-958\" class=\"mo\">(<\/span><span id=\"MathJax-Span-959\" class=\"mrow\"><span id=\"MathJax-Span-960\" class=\"mn\">2<\/span><span id=\"MathJax-Span-961\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-962\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-963\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-964\" class=\"mspace\"><\/span><span id=\"MathJax-Span-965\" class=\"mspace\"><\/span><span id=\"MathJax-Span-966\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-967\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-968\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-969\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-970\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-971\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-972\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-973\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-974\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-975\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-976\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-977\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-978\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-979\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-980\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-981\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-982\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-983\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-984\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-985\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-986\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-987\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-988\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-989\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-990\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-991\" class=\"mo\">=<\/span><span id=\"MathJax-Span-992\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-993\" class=\"mfenced\"><span id=\"MathJax-Span-994\" class=\"mo\">(<\/span><span id=\"MathJax-Span-995\" class=\"mrow\"><span id=\"MathJax-Span-996\" class=\"mn\">2<\/span><span id=\"MathJax-Span-997\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-998\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-999\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1000\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-1001\" class=\"mfenced\"><span id=\"MathJax-Span-1002\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1003\" class=\"mrow\"><span id=\"MathJax-Span-1004\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1005\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-1006\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1007\" class=\"mo\">&nbsp;<\/span><span id=\"MathJax-Span-1008\" class=\"msup\"><span id=\"MathJax-Span-1009\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1010\" class=\"mn\">3<\/span><\/span><\/span><span id=\"MathJax-Span-1011\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-14\"><\/span>Question 14:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>x<\/em><sup>3<\/sup>&nbsp;\u2212 2<em>x<\/em><sup>2<\/sup><em>y<\/em>&nbsp;+ 3<em>xy<\/em><sup>2<\/sup>&nbsp;\u2212 6<em>y<\/em><sup>3<\/sup><\/p>\n<\/div>\n<div id=\"quesA14\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-15\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-20-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>x<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mi>y<\/mi><mo>+<\/mo><mn>3<\/mn><mi>x<\/mi><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>6<\/mn><msup><mi>y<\/mi><mn>3<\/mn><\/msup><mo>=<\/mo><mfenced><mrow><msup><mi>x<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mi>y<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mn>3<\/mn><mi>x<\/mi><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>6<\/mn><msup><mi>y<\/mi><mn>3<\/mn><\/msup><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1012\" class=\"math\"><span id=\"MathJax-Span-1013\" class=\"mrow\"><span id=\"MathJax-Span-1014\" class=\"msup\"><span id=\"MathJax-Span-1015\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1016\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1017\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1018\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1019\" class=\"msup\"><span id=\"MathJax-Span-1020\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1021\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1022\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1023\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1024\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1025\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1026\" class=\"msup\"><span id=\"MathJax-Span-1027\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1028\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1029\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1030\" class=\"mn\">6<\/span><span id=\"MathJax-Span-1031\" class=\"msup\"><span id=\"MathJax-Span-1032\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1033\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1034\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1035\" class=\"mfenced\"><span id=\"MathJax-Span-1036\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1037\" class=\"mrow\"><span id=\"MathJax-Span-1038\" class=\"msup\"><span id=\"MathJax-Span-1039\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1040\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1041\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1042\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1043\" class=\"msup\"><span id=\"MathJax-Span-1044\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1045\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1046\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1047\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1048\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1049\" class=\"mfenced\"><span id=\"MathJax-Span-1050\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1051\" class=\"mrow\"><span id=\"MathJax-Span-1052\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1053\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1054\" class=\"msup\"><span id=\"MathJax-Span-1055\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1056\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1057\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1058\" class=\"mn\">6<\/span><span id=\"MathJax-Span-1059\" class=\"msup\"><span id=\"MathJax-Span-1060\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1061\" class=\"mn\">3<\/span><\/span><\/span><span id=\"MathJax-Span-1062\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">x3-2x2y+3xy2-6y3=x3-2x2y+3xy2-6y3<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-21-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mn>3<\/mn><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>3<\/mn><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1063\" class=\"math\"><span id=\"MathJax-Span-1064\" class=\"mrow\"><span id=\"MathJax-Span-1065\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1066\" class=\"msup\"><span id=\"MathJax-Span-1067\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1068\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1069\" class=\"mfenced\"><span id=\"MathJax-Span-1070\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1071\" class=\"mrow\"><span id=\"MathJax-Span-1072\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1073\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1074\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1075\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1076\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1077\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1078\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1079\" class=\"msup\"><span id=\"MathJax-Span-1080\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1081\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1082\" class=\"mfenced\"><span id=\"MathJax-Span-1083\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1084\" class=\"mrow\"><span id=\"MathJax-Span-1085\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1086\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1087\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1088\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1089\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1090\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1091\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1092\" class=\"mfenced\"><span id=\"MathJax-Span-1093\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1094\" class=\"mrow\"><span id=\"MathJax-Span-1095\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1096\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1097\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1098\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1099\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1100\" class=\"mfenced\"><span id=\"MathJax-Span-1101\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1102\" class=\"mrow\"><span id=\"MathJax-Span-1103\" class=\"msup\"><span id=\"MathJax-Span-1104\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1105\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1106\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1107\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1108\" class=\"msup\"><span id=\"MathJax-Span-1109\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1110\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-1111\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-15\"><\/span>Question 15:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>px<\/em>&nbsp;\u2212 5<em>q<\/em><em>&nbsp;<\/em>+&nbsp;<em>pq<\/em>&nbsp;\u2212 5<em>x<\/em><\/p>\n<\/div>\n<div id=\"quesA15\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-16\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-22-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mi>p<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><mi>q<\/mi><mo>+<\/mo><mi>p<\/mi><mi>q<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><mi>x<\/mi><mo>=<\/mo><mfenced><mrow><mi>p<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><mi>x<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mi>p<\/mi><mi>q<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><mi>q<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1112\" class=\"math\"><span id=\"MathJax-Span-1113\" class=\"mrow\"><span id=\"MathJax-Span-1114\" class=\"mi\">p<\/span><span id=\"MathJax-Span-1115\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1116\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1117\" class=\"mn\">5<\/span><span id=\"MathJax-Span-1118\" class=\"mi\">q<\/span><span id=\"MathJax-Span-1119\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1120\" class=\"mi\">p<\/span><span id=\"MathJax-Span-1121\" class=\"mi\">q<\/span><span id=\"MathJax-Span-1122\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1123\" class=\"mn\">5<\/span><span id=\"MathJax-Span-1124\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1125\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1126\" class=\"mfenced\"><span id=\"MathJax-Span-1127\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1128\" class=\"mrow\"><span id=\"MathJax-Span-1129\" class=\"mi\">p<\/span><span id=\"MathJax-Span-1130\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1131\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1132\" class=\"mn\">5<\/span><span id=\"MathJax-Span-1133\" class=\"mi\">x<\/span><\/span><span id=\"MathJax-Span-1134\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1135\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1136\" class=\"mfenced\"><span id=\"MathJax-Span-1137\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1138\" class=\"mrow\"><span id=\"MathJax-Span-1139\" class=\"mi\">p<\/span><span id=\"MathJax-Span-1140\" class=\"mi\">q<\/span><span id=\"MathJax-Span-1141\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1142\" class=\"mn\">5<\/span><span id=\"MathJax-Span-1143\" class=\"mi\">q<\/span><\/span><span id=\"MathJax-Span-1144\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">px-5q+pq-5x=px-5x+pq-5q<\/span><\/span><br>&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-23-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mi>x<\/mi><mfenced><mrow><mi>p<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><mo>+<\/mo><mi>q<\/mi><mfenced><mrow><mi>p<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>p<\/mi><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow><\/mfenced><mfenced><mrow><mi>x<\/mi><mo>+<\/mo><mi>q<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1145\" class=\"math\"><span id=\"MathJax-Span-1146\" class=\"mrow\"><span id=\"MathJax-Span-1147\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1148\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1149\" class=\"mfenced\"><span id=\"MathJax-Span-1150\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1151\" class=\"mrow\"><span id=\"MathJax-Span-1152\" class=\"mi\">p<\/span><span id=\"MathJax-Span-1153\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1154\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-1155\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1156\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1157\" class=\"mi\">q<\/span><span id=\"MathJax-Span-1158\" class=\"mfenced\"><span id=\"MathJax-Span-1159\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1160\" class=\"mrow\"><span id=\"MathJax-Span-1161\" class=\"mi\">p<\/span><span id=\"MathJax-Span-1162\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1163\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-1164\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1165\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1166\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1167\" class=\"mfenced\"><span id=\"MathJax-Span-1168\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1169\" class=\"mrow\"><span id=\"MathJax-Span-1170\" class=\"mi\">p<\/span><span id=\"MathJax-Span-1171\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1172\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-1173\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1174\" class=\"mfenced\"><span id=\"MathJax-Span-1175\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1176\" class=\"mrow\"><span id=\"MathJax-Span-1177\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1178\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1179\" class=\"mi\">q<\/span><\/span><span id=\"MathJax-Span-1180\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-16\"><\/span>Question 16:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>x<\/em><sup>2<\/sup>&nbsp;+<em>&nbsp;y<\/em>&nbsp;\u2212&nbsp;<em>xy<\/em>&nbsp;\u2212&nbsp;<em>x<\/em><\/p>\n<\/div>\n<div id=\"quesA16\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-17\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-24-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>y<\/mi><mo>&#8211;<\/mo><mi>x<\/mi><mi>y<\/mi><mo>&#8211;<\/mo><mi>x<\/mi><mo>=<\/mo><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mi>x<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mi>y<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1181\" class=\"math\"><span id=\"MathJax-Span-1182\" class=\"mrow\"><span id=\"MathJax-Span-1183\" class=\"msup\"><span id=\"MathJax-Span-1184\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1185\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1186\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1187\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1188\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1189\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1190\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1191\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1192\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1193\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1194\" class=\"mfenced\"><span id=\"MathJax-Span-1195\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1196\" class=\"mrow\"><span id=\"MathJax-Span-1197\" class=\"msup\"><span id=\"MathJax-Span-1198\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1199\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1200\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1201\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1202\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1203\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1204\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1205\" class=\"mfenced\"><span id=\"MathJax-Span-1206\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1207\" class=\"mrow\"><span id=\"MathJax-Span-1208\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1209\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1210\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1211\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">x2+y-xy-x=x2-xy-x-y<\/span><\/span><br>&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-25-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mi>x<\/mi><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>1<\/mn><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1212\" class=\"math\"><span id=\"MathJax-Span-1213\" class=\"mrow\"><span id=\"MathJax-Span-1214\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1215\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1216\" class=\"mfenced\"><span id=\"MathJax-Span-1217\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1218\" class=\"mrow\"><span id=\"MathJax-Span-1219\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1220\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1221\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1222\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1223\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1224\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1225\" class=\"mfenced\"><span id=\"MathJax-Span-1226\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1227\" class=\"mrow\"><span id=\"MathJax-Span-1228\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1229\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1230\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1231\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1232\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1233\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1234\" class=\"mfenced\"><span id=\"MathJax-Span-1235\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1236\" class=\"mrow\"><span id=\"MathJax-Span-1237\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1238\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1239\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1240\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1241\" class=\"mfenced\"><span id=\"MathJax-Span-1242\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1243\" class=\"mrow\"><span id=\"MathJax-Span-1244\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1245\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1246\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1247\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-17\"><\/span>Question 17:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>(3<em>a<\/em>&nbsp;\u2212 1)<sup>2<\/sup>&nbsp;\u2212 6<em>a<\/em>&nbsp;+ 2<\/p>\n<\/div>\n<div id=\"quesA17\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-18\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-26-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>6<\/mn><mi>a<\/mi><mo>+<\/mo><mn>2<\/mn><mo>=<\/mo><msup><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1248\" class=\"math\"><span id=\"MathJax-Span-1249\" class=\"mrow\"><span id=\"MathJax-Span-1250\" class=\"msup\"><span id=\"MathJax-Span-1251\" class=\"mfenced\"><span id=\"MathJax-Span-1252\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1253\" class=\"mrow\"><span id=\"MathJax-Span-1254\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1255\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1256\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1257\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1258\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1259\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1260\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1261\" class=\"mn\">6<\/span><span id=\"MathJax-Span-1262\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1263\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1264\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1265\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1266\" class=\"msup\"><span id=\"MathJax-Span-1267\" class=\"mfenced\"><span id=\"MathJax-Span-1268\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1269\" class=\"mrow\"><span id=\"MathJax-Span-1270\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1271\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1272\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1273\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1274\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1275\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1276\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1277\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1278\" class=\"mfenced\"><span id=\"MathJax-Span-1279\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1280\" class=\"mrow\"><span id=\"MathJax-Span-1281\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1282\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1283\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1284\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1285\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">3a-12-6a+2=3a-12-23a-1<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-27-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>2<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><mo>&#8211;<\/mo><mn>2<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mn>3<\/mn><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1286\" class=\"math\"><span id=\"MathJax-Span-1287\" class=\"mrow\"><span id=\"MathJax-Span-1288\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1289\" class=\"mfenced\"><span id=\"MathJax-Span-1290\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1291\" class=\"mrow\"><span id=\"MathJax-Span-1292\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1293\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1294\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1295\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1296\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1297\" class=\"mfenced\"><span id=\"MathJax-Span-1298\" class=\"mo\">[<\/span><span id=\"MathJax-Span-1299\" class=\"mrow\"><span id=\"MathJax-Span-1300\" class=\"mfenced\"><span id=\"MathJax-Span-1301\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1302\" class=\"mrow\"><span id=\"MathJax-Span-1303\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1304\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1305\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1306\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1307\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1308\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1309\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1310\" class=\"mo\">]<\/span><\/span><span id=\"MathJax-Span-1311\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1312\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1313\" class=\"mfenced\"><span id=\"MathJax-Span-1314\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1315\" class=\"mrow\"><span id=\"MathJax-Span-1316\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1317\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1318\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1319\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1320\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1321\" class=\"mfenced\"><span id=\"MathJax-Span-1322\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1323\" class=\"mrow\"><span id=\"MathJax-Span-1324\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1325\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1326\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1327\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1328\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1329\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1330\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1331\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1332\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1333\" class=\"mfenced\"><span id=\"MathJax-Span-1334\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1335\" class=\"mrow\"><span id=\"MathJax-Span-1336\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1337\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1338\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1339\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1340\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1341\" class=\"mfenced\"><span id=\"MathJax-Span-1342\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1343\" class=\"mrow\"><span id=\"MathJax-Span-1344\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1345\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1346\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1347\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1348\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1349\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1350\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1351\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1352\" class=\"mfenced\"><span id=\"MathJax-Span-1353\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1354\" class=\"mrow\"><span id=\"MathJax-Span-1355\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1356\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1357\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1358\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1359\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1360\" class=\"mfenced\"><span id=\"MathJax-Span-1361\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1362\" class=\"mrow\"><span id=\"MathJax-Span-1363\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1364\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1365\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1366\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-18\"><\/span>Question 18:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>(2<em>x<\/em>&nbsp;\u2212 3)<sup>2<\/sup>&nbsp;\u2212 8<em>x<\/em>&nbsp;+ 12<\/p>\n<\/div>\n<div id=\"quesA18\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-19\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-28-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>8<\/mn><mi>x<\/mi><mo>+<\/mo><mn>12<\/mn><mo>=<\/mo><msup><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>4<\/mn><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1367\" class=\"math\"><span id=\"MathJax-Span-1368\" class=\"mrow\"><span id=\"MathJax-Span-1369\" class=\"msup\"><span id=\"MathJax-Span-1370\" class=\"mfenced\"><span id=\"MathJax-Span-1371\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1372\" class=\"mrow\"><span id=\"MathJax-Span-1373\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1374\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1375\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1376\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1377\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1378\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1379\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1380\" class=\"mn\">8<\/span><span id=\"MathJax-Span-1381\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1382\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1383\" class=\"mn\">12<\/span><span id=\"MathJax-Span-1384\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1385\" class=\"msup\"><span id=\"MathJax-Span-1386\" class=\"mfenced\"><span id=\"MathJax-Span-1387\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1388\" class=\"mrow\"><span id=\"MathJax-Span-1389\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1390\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1391\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1392\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1393\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1394\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1395\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1396\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1397\" class=\"mfenced\"><span id=\"MathJax-Span-1398\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1399\" class=\"mrow\"><span id=\"MathJax-Span-1400\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1401\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1402\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1403\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1404\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">2x-32-8x+12=2x-32-42x-3<\/span><\/span><br>&nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-29-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>4<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><mo>&#8211;<\/mo><mn>4<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>7<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1405\" class=\"math\"><span id=\"MathJax-Span-1406\" class=\"mrow\"><span id=\"MathJax-Span-1407\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1408\" class=\"mfenced\"><span id=\"MathJax-Span-1409\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1410\" class=\"mrow\"><span id=\"MathJax-Span-1411\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1412\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1413\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1414\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1415\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1416\" class=\"mfenced\"><span id=\"MathJax-Span-1417\" class=\"mo\">[<\/span><span id=\"MathJax-Span-1418\" class=\"mrow\"><span id=\"MathJax-Span-1419\" class=\"mfenced\"><span id=\"MathJax-Span-1420\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1421\" class=\"mrow\"><span id=\"MathJax-Span-1422\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1423\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1424\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1425\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1426\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1427\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1428\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-1429\" class=\"mo\">]<\/span><\/span><span id=\"MathJax-Span-1430\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1431\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1432\" class=\"mfenced\"><span id=\"MathJax-Span-1433\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1434\" class=\"mrow\"><span id=\"MathJax-Span-1435\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1436\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1437\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1438\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1439\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1440\" class=\"mfenced\"><span id=\"MathJax-Span-1441\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1442\" class=\"mrow\"><span id=\"MathJax-Span-1443\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1444\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1445\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1446\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1447\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1448\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-1449\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1450\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1451\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1452\" class=\"mfenced\"><span id=\"MathJax-Span-1453\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1454\" class=\"mrow\"><span id=\"MathJax-Span-1455\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1456\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1457\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1458\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1459\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1460\" class=\"mfenced\"><span id=\"MathJax-Span-1461\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1462\" class=\"mrow\"><span id=\"MathJax-Span-1463\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1464\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1465\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1466\" class=\"mn\">7<\/span><\/span><span id=\"MathJax-Span-1467\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-19\"><\/span>Question 19:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>a<\/em><sup>3<\/sup>&nbsp;+<em>&nbsp;a<\/em>&nbsp;\u2212 3<em>a<\/em><sup>2<\/sup>&nbsp;\u2212 3<\/p>\n<\/div>\n<div id=\"quesA19\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-20\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-30-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>3<\/mn><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><mn>3<\/mn><msup><mi>a<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><\/math>&#8220;><span id=\"MathJax-Span-1468\" class=\"math\"><span id=\"MathJax-Span-1469\" class=\"mrow\"><span id=\"MathJax-Span-1470\" class=\"msup\"><span id=\"MathJax-Span-1471\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1472\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1473\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1474\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1475\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1476\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1477\" class=\"msup\"><span id=\"MathJax-Span-1478\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1479\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1480\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1481\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1482\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1483\" class=\"mfenced\"><span id=\"MathJax-Span-1484\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1485\" class=\"mrow\"><span id=\"MathJax-Span-1486\" class=\"msup\"><span id=\"MathJax-Span-1487\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1488\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1489\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1490\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1491\" class=\"msup\"><span id=\"MathJax-Span-1492\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1493\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-1494\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1495\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1496\" class=\"mfenced\"><span id=\"MathJax-Span-1497\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1498\" class=\"mrow\"><span id=\"MathJax-Span-1499\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1500\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1501\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1502\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1503\" class=\"mspace\"><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">a3+a-3a2-3=a3-3a2+a-3<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-31-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mo>+<\/mo><mn>1<\/mn><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1504\" class=\"math\"><span id=\"MathJax-Span-1505\" class=\"mrow\"><span id=\"MathJax-Span-1506\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1507\" class=\"msup\"><span id=\"MathJax-Span-1508\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1509\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1510\" class=\"mfenced\"><span id=\"MathJax-Span-1511\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1512\" class=\"mrow\"><span id=\"MathJax-Span-1513\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1514\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1515\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1516\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1517\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1518\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1519\" class=\"mfenced\"><span id=\"MathJax-Span-1520\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1521\" class=\"mrow\"><span id=\"MathJax-Span-1522\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1523\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1524\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1525\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1526\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1527\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1528\" class=\"mfenced\"><span id=\"MathJax-Span-1529\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1530\" class=\"mrow\"><span id=\"MathJax-Span-1531\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1532\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1533\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1534\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1535\" class=\"mfenced\"><span id=\"MathJax-Span-1536\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1537\" class=\"mrow\"><span id=\"MathJax-Span-1538\" class=\"msup\"><span id=\"MathJax-Span-1539\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1540\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1541\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1542\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1543\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-20\"><\/span>Question 20:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>3<em>ax<\/em>&nbsp;\u2212 6<em>ay<\/em>&nbsp;\u2212 8<em>by<\/em>&nbsp;+ 4<em>bx<\/em><\/p>\n<\/div>\n<div id=\"quesA20\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-21\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-32-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>3<\/mn><mi>a<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mn>6<\/mn><mi>a<\/mi><mi>y<\/mi><mo>&#8211;<\/mo><mn>8<\/mn><mi>b<\/mi><mi>y<\/mi><mo>+<\/mo><mn>4<\/mn><mi>b<\/mi><mi>x<\/mi><mo>=<\/mo><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mn>6<\/mn><mi>a<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mn>4<\/mn><mi>b<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mn>8<\/mn><mi>b<\/mi><mi>y<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1544\" class=\"math\"><span id=\"MathJax-Span-1545\" class=\"mrow\"><span id=\"MathJax-Span-1546\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1547\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1548\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1549\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1550\" class=\"mn\">6<\/span><span id=\"MathJax-Span-1551\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1552\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1553\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1554\" class=\"mn\">8<\/span><span id=\"MathJax-Span-1555\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1556\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1557\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1558\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1559\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1560\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1561\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1562\" class=\"mfenced\"><span id=\"MathJax-Span-1563\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1564\" class=\"mrow\"><span id=\"MathJax-Span-1565\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1566\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1567\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1568\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1569\" class=\"mn\">6<\/span><span id=\"MathJax-Span-1570\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1571\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1572\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1573\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1574\" class=\"mfenced\"><span id=\"MathJax-Span-1575\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1576\" class=\"mrow\"><span id=\"MathJax-Span-1577\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1578\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1579\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1580\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1581\" class=\"mn\">8<\/span><span id=\"MathJax-Span-1582\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1583\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1584\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">3ax-6ay-8by+4bx=3ax-6ay+4bx-8by<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-33-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mn>3<\/mn><mi>a<\/mi><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mn>4<\/mn><mi>b<\/mi><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><mn>3<\/mn><mi>a<\/mi><mo>+<\/mo><mn>4<\/mn><mi>b<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1585\" class=\"math\"><span id=\"MathJax-Span-1586\" class=\"mrow\"><span id=\"MathJax-Span-1587\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1588\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1589\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1590\" class=\"mfenced\"><span id=\"MathJax-Span-1591\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1592\" class=\"mrow\"><span id=\"MathJax-Span-1593\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1594\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1595\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1596\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1597\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1598\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1599\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1600\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1601\" class=\"mfenced\"><span id=\"MathJax-Span-1602\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1603\" class=\"mrow\"><span id=\"MathJax-Span-1604\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1605\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1606\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1607\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1608\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1609\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1610\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1611\" class=\"mfenced\"><span id=\"MathJax-Span-1612\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1613\" class=\"mrow\"><span id=\"MathJax-Span-1614\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1615\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1616\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1617\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1618\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1619\" class=\"mfenced\"><span id=\"MathJax-Span-1620\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1621\" class=\"mrow\"><span id=\"MathJax-Span-1622\" class=\"mn\">3<\/span><span id=\"MathJax-Span-1623\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1624\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1625\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1626\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-1627\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-21\"><\/span>Question 21:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>abx<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>a<\/em><sup>2<\/sup><em>x<\/em>&nbsp;+&nbsp;<em>b<\/em><sup>2<\/sup><em>x<\/em>&nbsp;+&nbsp;<em>ab<\/em><\/p>\n<\/div>\n<div id=\"quesA21\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-22\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-34-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mi>a<\/mi><mi>b<\/mi><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mi>x<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mi>x<\/mi><mo>+<\/mo><mi>a<\/mi><mi>b<\/mi><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mi>b<\/mi><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mi>x<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mi>x<\/mi><mo>+<\/mo><mi>a<\/mi><mi>b<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1628\" class=\"math\"><span id=\"MathJax-Span-1629\" class=\"mrow\"><span id=\"MathJax-Span-1630\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1631\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1632\" class=\"msup\"><span id=\"MathJax-Span-1633\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1634\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1635\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1636\" class=\"msup\"><span id=\"MathJax-Span-1637\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1638\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1639\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1640\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1641\" class=\"msup\"><span id=\"MathJax-Span-1642\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1643\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1644\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1645\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1646\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1647\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1648\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1649\" class=\"mfenced\"><span id=\"MathJax-Span-1650\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1651\" class=\"mrow\"><span id=\"MathJax-Span-1652\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1653\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1654\" class=\"msup\"><span id=\"MathJax-Span-1655\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1656\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1657\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1658\" class=\"msup\"><span id=\"MathJax-Span-1659\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1660\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1661\" class=\"mi\">x<\/span><\/span><span id=\"MathJax-Span-1662\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1663\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1664\" class=\"mfenced\"><span id=\"MathJax-Span-1665\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1666\" class=\"mrow\"><span id=\"MathJax-Span-1667\" class=\"msup\"><span id=\"MathJax-Span-1668\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1669\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1670\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1671\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1672\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1673\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-1674\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">abx2+a2x+b2x+ab=abx2+b2x+a2x+ab<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-35-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mi>b<\/mi><mi>x<\/mi><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mi>a<\/mi><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mfenced><mrow><mi>b<\/mi><mi>x<\/mi><mo>+<\/mo><mi>a<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1675\" class=\"math\"><span id=\"MathJax-Span-1676\" class=\"mrow\"><span id=\"MathJax-Span-1677\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1678\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1679\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1680\" class=\"mfenced\"><span id=\"MathJax-Span-1681\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1682\" class=\"mrow\"><span id=\"MathJax-Span-1683\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1684\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1685\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1686\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-1687\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1688\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1689\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1690\" class=\"mfenced\"><span id=\"MathJax-Span-1691\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1692\" class=\"mrow\"><span id=\"MathJax-Span-1693\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1694\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1695\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1696\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-1697\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1698\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1699\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1700\" class=\"mfenced\"><span id=\"MathJax-Span-1701\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1702\" class=\"mrow\"><span id=\"MathJax-Span-1703\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1704\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1705\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1706\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-1707\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1708\" class=\"mfenced\"><span id=\"MathJax-Span-1709\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1710\" class=\"mrow\"><span id=\"MathJax-Span-1711\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1712\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1713\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1714\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-1715\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-22\"><\/span>Question 22:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>x<\/em><sup>3<\/sup>&nbsp;\u2212&nbsp;<em>x<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>ax<\/em>&nbsp;+&nbsp;<em>x<\/em>&nbsp;\u2212&nbsp;<em>a<\/em>&nbsp;\u2212 1<\/p>\n<\/div>\n<div id=\"quesA22\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-23\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-36-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>x<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mi>x<\/mi><mo>+<\/mo><mi>x<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><mo>=<\/mo><mfenced><mrow><msup><mi>x<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1716\" class=\"math\"><span id=\"MathJax-Span-1717\" class=\"mrow\"><span id=\"MathJax-Span-1718\" class=\"msup\"><span id=\"MathJax-Span-1719\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1720\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1721\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1722\" class=\"msup\"><span id=\"MathJax-Span-1723\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1724\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1725\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1726\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1727\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1728\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1729\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1730\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1731\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1732\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1733\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1734\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1735\" class=\"mfenced\"><span id=\"MathJax-Span-1736\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1737\" class=\"mrow\"><span id=\"MathJax-Span-1738\" class=\"msup\"><span id=\"MathJax-Span-1739\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1740\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-1741\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1742\" class=\"msup\"><span id=\"MathJax-Span-1743\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1744\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-1745\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1746\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1747\" class=\"mfenced\"><span id=\"MathJax-Span-1748\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1749\" class=\"mrow\"><span id=\"MathJax-Span-1750\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1751\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1752\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1753\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-1754\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1755\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1756\" class=\"mfenced\"><span id=\"MathJax-Span-1757\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1758\" class=\"mrow\"><span id=\"MathJax-Span-1759\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1760\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1761\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1762\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">x3-x2+ax+x-a-1=x3-x2+ax-a+x-1<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-37-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mo>+<\/mo><mi>a<\/mi><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mo>+<\/mo><mn>1<\/mn><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1763\" class=\"math\"><span id=\"MathJax-Span-1764\" class=\"mrow\"><span id=\"MathJax-Span-1765\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1766\" class=\"msup\"><span id=\"MathJax-Span-1767\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1768\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1769\" class=\"mfenced\"><span id=\"MathJax-Span-1770\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1771\" class=\"mrow\"><span id=\"MathJax-Span-1772\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1773\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1774\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1775\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1776\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1777\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1778\" class=\"mfenced\"><span id=\"MathJax-Span-1779\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1780\" class=\"mrow\"><span id=\"MathJax-Span-1781\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1782\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1783\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1784\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1785\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1786\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1787\" class=\"mfenced\"><span id=\"MathJax-Span-1788\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1789\" class=\"mrow\"><span id=\"MathJax-Span-1790\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1791\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1792\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1793\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1794\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1795\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1796\" class=\"mfenced\"><span id=\"MathJax-Span-1797\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1798\" class=\"mrow\"><span id=\"MathJax-Span-1799\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1800\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1801\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1802\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1803\" class=\"mfenced\"><span id=\"MathJax-Span-1804\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1805\" class=\"mrow\"><span id=\"MathJax-Span-1806\" class=\"msup\"><span id=\"MathJax-Span-1807\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1808\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1809\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1810\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1811\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1812\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1813\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">=x2x-1+ax-1+1x-1=x-1&#215;2+a+1<\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-23\"><\/span>Question 23:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>2<em>x<\/em>&nbsp;+ 4<em>y<\/em>&nbsp;\u2212 8<em>xy<\/em>&nbsp;\u2212 1<\/p>\n<\/div>\n<div id=\"quesA23\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-24\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-38-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>2<\/mn><mi>x<\/mi><mo>+<\/mo><mn>4<\/mn><mi>y<\/mi><mo>&#8211;<\/mo><mn>8<\/mn><mi>x<\/mi><mi>y<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><mo>=<\/mo><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>8<\/mn><mi>x<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced><mrow><mn>1<\/mn><mo>&#8211;<\/mo><mn>4<\/mn><mi>y<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1814\" class=\"math\"><span id=\"MathJax-Span-1815\" class=\"mrow\"><span id=\"MathJax-Span-1816\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1817\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1818\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1819\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1820\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1821\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1822\" class=\"mn\">8<\/span><span id=\"MathJax-Span-1823\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1824\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1825\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1826\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1827\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1828\" class=\"mfenced\"><span id=\"MathJax-Span-1829\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1830\" class=\"mrow\"><span id=\"MathJax-Span-1831\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1832\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1833\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1834\" class=\"mn\">8<\/span><span id=\"MathJax-Span-1835\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1836\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1837\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1838\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1839\" class=\"mfenced\"><span id=\"MathJax-Span-1840\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1841\" class=\"mrow\"><span id=\"MathJax-Span-1842\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1843\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1844\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1845\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1846\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">2x+4y-8xy-1=2x-8xy-1-4y<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<span id=\"MathJax-Element-39-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mn>2<\/mn><mi>x<\/mi><mfenced><mrow><mn>1<\/mn><mo>&#8211;<\/mo><mn>4<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>1<\/mn><mfenced><mrow><mn>1<\/mn><mo>&#8211;<\/mo><mn>4<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mn>1<\/mn><mo>&#8211;<\/mo><mn>4<\/mn><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>&#8211;<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1847\" class=\"math\"><span id=\"MathJax-Span-1848\" class=\"mrow\"><span id=\"MathJax-Span-1849\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1850\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1851\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1852\" class=\"mfenced\"><span id=\"MathJax-Span-1853\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1854\" class=\"mrow\"><span id=\"MathJax-Span-1855\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1856\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1857\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1858\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1859\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1860\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1861\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1862\" class=\"mfenced\"><span id=\"MathJax-Span-1863\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1864\" class=\"mrow\"><span id=\"MathJax-Span-1865\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1866\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1867\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1868\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1869\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1870\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1871\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1872\" class=\"mfenced\"><span id=\"MathJax-Span-1873\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1874\" class=\"mrow\"><span id=\"MathJax-Span-1875\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1876\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1877\" class=\"mn\">4<\/span><span id=\"MathJax-Span-1878\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1879\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1880\" class=\"mfenced\"><span id=\"MathJax-Span-1881\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1882\" class=\"mrow\"><span id=\"MathJax-Span-1883\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1884\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1885\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1886\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-1887\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-24\"><\/span>Question 24:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>ab<\/em>(<em>x<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>y<\/em><sup>2<\/sup>) \u2212&nbsp;<em>xy<\/em>(<em>a<\/em><sup>2<\/sup>&nbsp;+<em>&nbsp;<\/em><em>b<\/em><sup>2<\/sup>)<\/p>\n<\/div>\n<div id=\"quesA24\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-25\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-40-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mi>a<\/mi><mi>b<\/mi><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>&#8211;<\/mo><mi>x<\/mi><mi>y<\/mi><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>=<\/mo><mi>a<\/mi><mi>b<\/mi><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mi>b<\/mi><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mi>x<\/mi><mi>y<\/mi><mo>&#8211;<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mi>x<\/mi><mi>y<\/mi><\/math>&#8220;><span id=\"MathJax-Span-1888\" class=\"math\"><span id=\"MathJax-Span-1889\" class=\"mrow\"><span id=\"MathJax-Span-1890\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1891\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1892\" class=\"mfenced\"><span id=\"MathJax-Span-1893\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1894\" class=\"mrow\"><span id=\"MathJax-Span-1895\" class=\"msup\"><span id=\"MathJax-Span-1896\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1897\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1898\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1899\" class=\"msup\"><span id=\"MathJax-Span-1900\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1901\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-1902\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1903\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1904\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1905\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1906\" class=\"mfenced\"><span id=\"MathJax-Span-1907\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1908\" class=\"mrow\"><span id=\"MathJax-Span-1909\" class=\"msup\"><span id=\"MathJax-Span-1910\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1911\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1912\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1913\" class=\"msup\"><span id=\"MathJax-Span-1914\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1915\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-1916\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1917\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1918\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1919\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1920\" class=\"msup\"><span id=\"MathJax-Span-1921\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1922\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1923\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1924\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1925\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1926\" class=\"msup\"><span id=\"MathJax-Span-1927\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1928\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1929\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1930\" class=\"msup\"><span id=\"MathJax-Span-1931\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1932\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1933\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1934\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1935\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1936\" class=\"msup\"><span id=\"MathJax-Span-1937\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1938\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1939\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1940\" class=\"mi\">y<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">abx2+y2-xya2+b2=abx2+aby2-a2xy-b2xy<\/span><\/span><br>&nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-41-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mi>b<\/mi><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mi>x<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced><mrow><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mi>x<\/mi><mi>y<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>b<\/mi><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mi>a<\/mi><mi>x<\/mi><mfenced><mrow><mi>b<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mi>b<\/mi><mi>y<\/mi><mfenced><mrow><mi>b<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>b<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mi>b<\/mi><mi>y<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-1941\" class=\"math\"><span id=\"MathJax-Span-1942\" class=\"mrow\"><span id=\"MathJax-Span-1943\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1944\" class=\"mfenced\"><span id=\"MathJax-Span-1945\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1946\" class=\"mrow\"><span id=\"MathJax-Span-1947\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1948\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1949\" class=\"msup\"><span id=\"MathJax-Span-1950\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1951\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1952\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1953\" class=\"msup\"><span id=\"MathJax-Span-1954\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1955\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1956\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1957\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1958\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1959\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1960\" class=\"mfenced\"><span id=\"MathJax-Span-1961\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1962\" class=\"mrow\"><span id=\"MathJax-Span-1963\" class=\"msup\"><span id=\"MathJax-Span-1964\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1965\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1966\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1967\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1968\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1969\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1970\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1971\" class=\"msup\"><span id=\"MathJax-Span-1972\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1973\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-1974\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1975\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1976\" class=\"mo\">=<\/span><span id=\"MathJax-Span-1977\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1978\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1979\" class=\"mfenced\"><span id=\"MathJax-Span-1980\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1981\" class=\"mrow\"><span id=\"MathJax-Span-1982\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1983\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1984\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1985\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1986\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1987\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1988\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1989\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1990\" class=\"mi\">y<\/span><span id=\"MathJax-Span-1991\" class=\"mfenced\"><span id=\"MathJax-Span-1992\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1993\" class=\"mrow\"><span id=\"MathJax-Span-1994\" class=\"mi\">b<\/span><span id=\"MathJax-Span-1995\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1996\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-1997\" class=\"mi\">a<\/span><span id=\"MathJax-Span-1998\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-1999\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2000\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2001\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2002\" class=\"mfenced\"><span id=\"MathJax-Span-2003\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2004\" class=\"mrow\"><span id=\"MathJax-Span-2005\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2006\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2007\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2008\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2009\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-2010\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2011\" class=\"mfenced\"><span id=\"MathJax-Span-2012\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2013\" class=\"mrow\"><span id=\"MathJax-Span-2014\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2015\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2016\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2017\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2018\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-2019\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-25\"><\/span>Question 25:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>a<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>ab<\/em>(<em>b<\/em>&nbsp;+ 1) +&nbsp;<em>b<\/em><sup>3<\/sup><\/p>\n<\/div>\n<div id=\"quesA25\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-26\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-42-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mi>b<\/mi><mfenced><mrow><mi>b<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mo>+<\/mo><msup><mi>b<\/mi><mn>3<\/mn><\/msup><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mi>b<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>3<\/mn><\/msup><\/math>&#8220;><span id=\"MathJax-Span-2020\" class=\"math\"><span id=\"MathJax-Span-2021\" class=\"mrow\"><span id=\"MathJax-Span-2022\" class=\"msup\"><span id=\"MathJax-Span-2023\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2024\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2025\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2026\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2027\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2028\" class=\"mfenced\"><span id=\"MathJax-Span-2029\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2030\" class=\"mrow\"><span id=\"MathJax-Span-2031\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2032\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2033\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-2034\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2035\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2036\" class=\"msup\"><span id=\"MathJax-Span-2037\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2038\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-2039\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2040\" class=\"msup\"><span id=\"MathJax-Span-2041\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2042\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2043\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2044\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2045\" class=\"msup\"><span id=\"MathJax-Span-2046\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2047\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2048\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2049\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2050\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2051\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2052\" class=\"msup\"><span id=\"MathJax-Span-2053\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2054\" class=\"mn\">3<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">a2+abb+1+b3=a2+ab2+ab+b3<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-43-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mi>a<\/mi><mi>b<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>3<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mi>a<\/mi><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mi>b<\/mi><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2055\" class=\"math\"><span id=\"MathJax-Span-2056\" class=\"mrow\"><span id=\"MathJax-Span-2057\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2058\" class=\"mfenced\"><span id=\"MathJax-Span-2059\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2060\" class=\"mrow\"><span id=\"MathJax-Span-2061\" class=\"msup\"><span id=\"MathJax-Span-2062\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2063\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2064\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2065\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2066\" class=\"msup\"><span id=\"MathJax-Span-2067\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2068\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2069\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2070\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2071\" class=\"mfenced\"><span id=\"MathJax-Span-2072\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2073\" class=\"mrow\"><span id=\"MathJax-Span-2074\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2075\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2076\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2077\" class=\"msup\"><span id=\"MathJax-Span-2078\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2079\" class=\"mn\">3<\/span><\/span><\/span><span id=\"MathJax-Span-2080\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2081\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2082\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2083\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2084\" class=\"mfenced\"><span id=\"MathJax-Span-2085\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2086\" class=\"mrow\"><span id=\"MathJax-Span-2087\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2088\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2089\" class=\"msup\"><span id=\"MathJax-Span-2090\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2091\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2092\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2093\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2094\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2095\" class=\"mfenced\"><span id=\"MathJax-Span-2096\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2097\" class=\"mrow\"><span id=\"MathJax-Span-2098\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2099\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2100\" class=\"msup\"><span id=\"MathJax-Span-2101\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2102\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2103\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2104\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2105\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2106\" class=\"mfenced\"><span id=\"MathJax-Span-2107\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2108\" class=\"mrow\"><span id=\"MathJax-Span-2109\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2110\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2111\" class=\"msup\"><span id=\"MathJax-Span-2112\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2113\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2114\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2115\" class=\"mfenced\"><span id=\"MathJax-Span-2116\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2117\" class=\"mrow\"><span id=\"MathJax-Span-2118\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2119\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2120\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2121\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-26\"><\/span>Question 26:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>a<\/em><sup>3<\/sup>&nbsp;+&nbsp;<em>ab<\/em>(1 \u2212 2<em>a<\/em>) \u2212 2<em>b<\/em><sup>2<\/sup><\/p>\n<\/div>\n<div id=\"quesA26\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-27\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-44-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mi>b<\/mi><mfenced><mrow><mn>1<\/mn><mo>&#8211;<\/mo><mn>2<\/mn><mi>a<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mn>2<\/mn><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mo>=<\/mo><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mi>b<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mi>b<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/math>&#8220;><span id=\"MathJax-Span-2122\" class=\"math\"><span id=\"MathJax-Span-2123\" class=\"mrow\"><span id=\"MathJax-Span-2124\" class=\"msup\"><span id=\"MathJax-Span-2125\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2126\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-2127\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2128\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2129\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2130\" class=\"mfenced\"><span id=\"MathJax-Span-2131\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2132\" class=\"mrow\"><span id=\"MathJax-Span-2133\" class=\"mn\">1<\/span><span id=\"MathJax-Span-2134\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2135\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2136\" class=\"mi\">a<\/span><\/span><span id=\"MathJax-Span-2137\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2138\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2139\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2140\" class=\"msup\"><span id=\"MathJax-Span-2141\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2142\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2143\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2144\" class=\"msup\"><span id=\"MathJax-Span-2145\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2146\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-2147\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2148\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2149\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2150\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2151\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2152\" class=\"msup\"><span id=\"MathJax-Span-2153\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2154\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2155\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2156\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2157\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2158\" class=\"msup\"><span id=\"MathJax-Span-2159\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2160\" class=\"mn\">2<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">a3+ab1-2a-2b2=a3+ab-2a2b-2b2<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-45-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mi>b<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mi>a<\/mi><mi>b<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mi>b<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2161\" class=\"math\"><span id=\"MathJax-Span-2162\" class=\"mrow\"><span id=\"MathJax-Span-2163\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2164\" class=\"mfenced\"><span id=\"MathJax-Span-2165\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2166\" class=\"mrow\"><span id=\"MathJax-Span-2167\" class=\"msup\"><span id=\"MathJax-Span-2168\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2169\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-2170\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2171\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2172\" class=\"msup\"><span id=\"MathJax-Span-2173\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2174\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2175\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2176\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2177\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2178\" class=\"mfenced\"><span id=\"MathJax-Span-2179\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2180\" class=\"mrow\"><span id=\"MathJax-Span-2181\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2182\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2183\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2184\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2185\" class=\"msup\"><span id=\"MathJax-Span-2186\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2187\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2188\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2189\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2190\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2191\" class=\"msup\"><span id=\"MathJax-Span-2192\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2193\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2194\" class=\"mfenced\"><span id=\"MathJax-Span-2195\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2196\" class=\"mrow\"><span id=\"MathJax-Span-2197\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2198\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2199\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2200\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2201\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2202\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2203\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2204\" class=\"mfenced\"><span id=\"MathJax-Span-2205\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2206\" class=\"mrow\"><span id=\"MathJax-Span-2207\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2208\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2209\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2210\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2211\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2212\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2213\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2214\" class=\"mfenced\"><span id=\"MathJax-Span-2215\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2216\" class=\"mrow\"><span id=\"MathJax-Span-2217\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2218\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2219\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2220\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2221\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2222\" class=\"mfenced\"><span id=\"MathJax-Span-2223\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2224\" class=\"mrow\"><span id=\"MathJax-Span-2225\" class=\"msup\"><span id=\"MathJax-Span-2226\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2227\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2228\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2229\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2230\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-27\"><\/span>Question 27:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>2<em>a<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>bc<\/em>&nbsp;\u2212 2<em>ab<\/em>&nbsp;\u2212&nbsp;<em>ac<\/em>2<\/p>\n<\/div>\n<div id=\"quesA27\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-28\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-46-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mn>2<\/mn><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>b<\/mi><mi>c<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>c<\/mi><mo>=<\/mo><mfenced><mrow><mn>2<\/mn><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced><mrow><mi>a<\/mi><mi>c<\/mi><mo>&#8211;<\/mo><mi>b<\/mi><mi>c<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2231\" class=\"math\"><span id=\"MathJax-Span-2232\" class=\"mrow\"><span id=\"MathJax-Span-2233\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2234\" class=\"msup\"><span id=\"MathJax-Span-2235\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2236\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2237\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2238\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2239\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2240\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2241\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2242\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2243\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2244\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2245\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2246\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2247\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2248\" class=\"mfenced\"><span id=\"MathJax-Span-2249\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2250\" class=\"mrow\"><span id=\"MathJax-Span-2251\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2252\" class=\"msup\"><span id=\"MathJax-Span-2253\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2254\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2255\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2256\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2257\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2258\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2259\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2260\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2261\" class=\"mfenced\"><span id=\"MathJax-Span-2262\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2263\" class=\"mrow\"><span id=\"MathJax-Span-2264\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2265\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2266\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2267\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2268\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2269\" class=\"mo\">)<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">2a2+bc-2ab-ac=2a2-2ab-ac-bc<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-47-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mn>2<\/mn><mi>a<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mi>c<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mi>b<\/mi><\/mrow><\/mfenced><mfenced><mrow><mn>2<\/mn><mi>a<\/mi><mo>&#8211;<\/mo><mi>c<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2270\" class=\"math\"><span id=\"MathJax-Span-2271\" class=\"mrow\"><span id=\"MathJax-Span-2272\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2273\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2274\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2275\" class=\"mfenced\"><span id=\"MathJax-Span-2276\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2277\" class=\"mrow\"><span id=\"MathJax-Span-2278\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2279\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2280\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2281\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2282\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2283\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2284\" class=\"mfenced\"><span id=\"MathJax-Span-2285\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2286\" class=\"mrow\"><span id=\"MathJax-Span-2287\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2288\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2289\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2290\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2291\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2292\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2293\" class=\"mfenced\"><span id=\"MathJax-Span-2294\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2295\" class=\"mrow\"><span id=\"MathJax-Span-2296\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2297\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2298\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2299\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2300\" class=\"mfenced\"><span id=\"MathJax-Span-2301\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2302\" class=\"mrow\"><span id=\"MathJax-Span-2303\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2304\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2305\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2306\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2307\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-28\"><\/span>Question 28:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br>(<em>ax<\/em>&nbsp;+&nbsp;<em>by<\/em>)<sup>2<\/sup>&nbsp;+ (<em>bx<\/em>&nbsp;\u2212&nbsp;<em>ay<\/em>)<sup>2<\/sup><\/p>\n<\/div>\n<div id=\"quesA28\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-29\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-48-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><mo>+<\/mo><mi>b<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mfenced><mrow><mi>b<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>=<\/mo><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><msup><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mo>&amp;#xD7;<\/mo><mi>a<\/mi><mi>x<\/mi><mo>&amp;#xD7;<\/mo><mi>b<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mfenced><mrow><mi>b<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><msup><mfenced><mrow><mi>b<\/mi><mi>x<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mo>&amp;#xD7;<\/mo><mi>b<\/mi><mi>x<\/mi><mo>&amp;#xD7;<\/mo><mi>a<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mfenced><mrow><mi>a<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2308\" class=\"math\"><span id=\"MathJax-Span-2309\" class=\"mrow\"><span id=\"MathJax-Span-2310\" class=\"msup\"><span id=\"MathJax-Span-2311\" class=\"mfenced\"><span id=\"MathJax-Span-2312\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2313\" class=\"mrow\"><span id=\"MathJax-Span-2314\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2315\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2316\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2317\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2318\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-2319\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2320\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2321\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2322\" class=\"msup\"><span id=\"MathJax-Span-2323\" class=\"mfenced\"><span id=\"MathJax-Span-2324\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2325\" class=\"mrow\"><span id=\"MathJax-Span-2326\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2327\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2328\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2329\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2330\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-2331\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2332\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2333\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2334\" class=\"mfenced\"><span id=\"MathJax-Span-2335\" class=\"mo\">[<\/span><span id=\"MathJax-Span-2336\" class=\"mrow\"><span id=\"MathJax-Span-2337\" class=\"msup\"><span id=\"MathJax-Span-2338\" class=\"mfenced\"><span id=\"MathJax-Span-2339\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2340\" class=\"mrow\"><span id=\"MathJax-Span-2341\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2342\" class=\"mi\">x<\/span><\/span><span id=\"MathJax-Span-2343\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2344\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2345\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2346\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2347\" class=\"mo\">\u00d7<\/span><span id=\"MathJax-Span-2348\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2349\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2350\" class=\"mo\">\u00d7<\/span><span id=\"MathJax-Span-2351\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2352\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2353\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2354\" class=\"msup\"><span id=\"MathJax-Span-2355\" class=\"mfenced\"><span id=\"MathJax-Span-2356\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2357\" class=\"mrow\"><span id=\"MathJax-Span-2358\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2359\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-2360\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2361\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2362\" class=\"mo\">]<\/span><\/span><span id=\"MathJax-Span-2363\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2364\" class=\"mfenced\"><span id=\"MathJax-Span-2365\" class=\"mo\">[<\/span><span id=\"MathJax-Span-2366\" class=\"mrow\"><span id=\"MathJax-Span-2367\" class=\"msup\"><span id=\"MathJax-Span-2368\" class=\"mfenced\"><span id=\"MathJax-Span-2369\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2370\" class=\"mrow\"><span id=\"MathJax-Span-2371\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2372\" class=\"mi\">x<\/span><\/span><span id=\"MathJax-Span-2373\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2374\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2375\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2376\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2377\" class=\"mo\">\u00d7<\/span><span id=\"MathJax-Span-2378\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2379\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2380\" class=\"mo\">\u00d7<\/span><span id=\"MathJax-Span-2381\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2382\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2383\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2384\" class=\"msup\"><span id=\"MathJax-Span-2385\" class=\"mfenced\"><span id=\"MathJax-Span-2386\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2387\" class=\"mrow\"><span id=\"MathJax-Span-2388\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2389\" class=\"mi\">y<\/span><\/span><span id=\"MathJax-Span-2390\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2391\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2392\" class=\"mo\">]<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">ax+by2+bx-ay2<\/span><\/span><\/p>\n<p><span id=\"MathJax-Element-48-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><msup><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><mo>+<\/mo><mi>b<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mfenced><mrow><mi>b<\/mi><mi>x<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>=<\/mo><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><msup><mfenced><mrow><mi>a<\/mi><mi>x<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mo>&amp;#xD7;<\/mo><mi>a<\/mi><mi>x<\/mi><mo>&amp;#xD7;<\/mo><mi>b<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mfenced><mrow><mi>b<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced close=&quot;]&quot; open=&quot;[&quot;><mrow><msup><mfenced><mrow><mi>b<\/mi><mi>x<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mo>&amp;#xD7;<\/mo><mi>b<\/mi><mi>x<\/mi><mo>&amp;#xD7;<\/mo><mi>a<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mfenced><mrow><mi>a<\/mi><mi>y<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><\/mrow><\/mfenced><\/math>&#8220;><span class=\"MJX_Assistive_MathML\" role=\"presentation\">=ax2+2\u00d7ax\u00d7by+by2+bx2-2\u00d7bx\u00d7ay+ay2<\/span><\/span><br>&nbsp;<span id=\"MathJax-Element-49-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mi>x<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mi>x<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2393\" class=\"math\"><span id=\"MathJax-Span-2394\" class=\"mrow\"><span id=\"MathJax-Span-2395\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2396\" class=\"msup\"><span id=\"MathJax-Span-2397\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2398\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2399\" class=\"msup\"><span id=\"MathJax-Span-2400\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2401\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2402\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2403\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2404\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2405\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2406\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2407\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2408\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2409\" class=\"msup\"><span id=\"MathJax-Span-2410\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2411\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2412\" class=\"msup\"><span id=\"MathJax-Span-2413\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2414\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2415\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2416\" class=\"msup\"><span id=\"MathJax-Span-2417\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2418\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2419\" class=\"msup\"><span id=\"MathJax-Span-2420\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2421\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2422\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2423\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2424\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2425\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2426\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2427\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2428\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2429\" class=\"msup\"><span id=\"MathJax-Span-2430\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2431\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2432\" class=\"msup\"><span id=\"MathJax-Span-2433\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2434\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span id=\"MathJax-Element-49-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mi>x<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mi>x<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2393\" class=\"math\"><span id=\"MathJax-Span-2394\" class=\"mrow\"><span id=\"MathJax-Span-2435\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2436\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2437\" class=\"msup\"><span id=\"MathJax-Span-2438\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2439\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2440\" class=\"msup\"><span id=\"MathJax-Span-2441\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2442\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2443\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2444\" class=\"msup\"><span id=\"MathJax-Span-2445\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2446\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2447\" class=\"msup\"><span id=\"MathJax-Span-2448\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2449\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2450\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2451\" class=\"msup\"><span id=\"MathJax-Span-2452\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2453\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2454\" class=\"msup\"><span id=\"MathJax-Span-2455\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2456\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2457\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2458\" class=\"msup\"><span id=\"MathJax-Span-2459\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2460\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2461\" class=\"msup\"><span id=\"MathJax-Span-2462\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2463\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2464\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2465\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2466\" class=\"mfenced\"><span id=\"MathJax-Span-2467\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2468\" class=\"mrow\"><span id=\"MathJax-Span-2469\" class=\"msup\"><span id=\"MathJax-Span-2470\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2471\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2472\" class=\"msup\"><span id=\"MathJax-Span-2473\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2474\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2475\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2476\" class=\"msup\"><span id=\"MathJax-Span-2477\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2478\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2479\" class=\"msup\"><span id=\"MathJax-Span-2480\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2481\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2482\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2483\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2484\" class=\"mfenced\"><span id=\"MathJax-Span-2485\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2486\" class=\"mrow\"><span id=\"MathJax-Span-2487\" class=\"msup\"><span id=\"MathJax-Span-2488\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2489\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2490\" class=\"msup\"><span id=\"MathJax-Span-2491\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2492\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2493\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2494\" class=\"msup\"><span id=\"MathJax-Span-2495\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2496\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2497\" class=\"msup\"><span id=\"MathJax-Span-2498\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2499\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2500\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span id=\"MathJax-Element-49-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mi>x<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mi>x<\/mi><mi>y<\/mi><mo>+<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>x<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><mfenced><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2393\" class=\"math\"><span id=\"MathJax-Span-2394\" class=\"mrow\"><span id=\"MathJax-Span-2501\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2502\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2503\" class=\"msup\"><span id=\"MathJax-Span-2504\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2505\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2506\" class=\"mfenced\"><span id=\"MathJax-Span-2507\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2508\" class=\"mrow\"><span id=\"MathJax-Span-2509\" class=\"msup\"><span id=\"MathJax-Span-2510\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2511\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2512\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2513\" class=\"msup\"><span id=\"MathJax-Span-2514\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2515\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2516\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2517\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2518\" class=\"msup\"><span id=\"MathJax-Span-2519\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2520\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2521\" class=\"mfenced\"><span id=\"MathJax-Span-2522\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2523\" class=\"mrow\"><span id=\"MathJax-Span-2524\" class=\"msup\"><span id=\"MathJax-Span-2525\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2526\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2527\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2528\" class=\"msup\"><span id=\"MathJax-Span-2529\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2530\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2531\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2532\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2533\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2534\" class=\"mfenced\"><span id=\"MathJax-Span-2535\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2536\" class=\"mrow\"><span id=\"MathJax-Span-2537\" class=\"msup\"><span id=\"MathJax-Span-2538\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2539\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2540\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2541\" class=\"msup\"><span id=\"MathJax-Span-2542\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2543\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2544\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2545\" class=\"mfenced\"><span id=\"MathJax-Span-2546\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2547\" class=\"mrow\"><span id=\"MathJax-Span-2548\" class=\"msup\"><span id=\"MathJax-Span-2549\" class=\"mi\">x<\/span><span id=\"MathJax-Span-2550\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2551\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2552\" class=\"msup\"><span id=\"MathJax-Span-2553\" class=\"mi\">y<\/span><span id=\"MathJax-Span-2554\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-2555\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-29\"><\/span>Question 29:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>a<\/em>(<em>a<\/em>&nbsp;+&nbsp;<em>b<\/em>&nbsp;\u2212&nbsp;<em>c<\/em>) \u2212&nbsp;<em>bc<\/em><\/p>\n<\/div>\n<div id=\"quesA29\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-30\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-50-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mi>a<\/mi><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><mo>&#8211;<\/mo><mi>c<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mi>b<\/mi><mi>c<\/mi><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><mi>b<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>c<\/mi><mo>&#8211;<\/mo><mi>b<\/mi><mi>c<\/mi><\/math>&#8220;><span id=\"MathJax-Span-2556\" class=\"math\"><span id=\"MathJax-Span-2557\" class=\"mrow\"><span id=\"MathJax-Span-2558\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2559\" class=\"mfenced\"><span id=\"MathJax-Span-2560\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2561\" class=\"mrow\"><span id=\"MathJax-Span-2562\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2563\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2564\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2565\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2566\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2567\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2568\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2569\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2570\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2571\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2572\" class=\"msup\"><span id=\"MathJax-Span-2573\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2574\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2575\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2576\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2577\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2578\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2579\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2580\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2581\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2582\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2583\" class=\"mi\">c<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">aa+b-c-bc=a2+ab-ac-bc<\/span><\/span><br>&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-51-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mi>a<\/mi><mi>c<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mfenced><mrow><mi>a<\/mi><mi>b<\/mi><mo>&#8211;<\/mo><mi>b<\/mi><mi>c<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mi>a<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mi>c<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mi>b<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mi>c<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mi>c<\/mi><\/mrow><\/mfenced><mfenced><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2584\" class=\"math\"><span id=\"MathJax-Span-2585\" class=\"mrow\"><span id=\"MathJax-Span-2586\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2587\" class=\"mfenced\"><span id=\"MathJax-Span-2588\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2589\" class=\"mrow\"><span id=\"MathJax-Span-2590\" class=\"msup\"><span id=\"MathJax-Span-2591\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2592\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2593\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2594\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2595\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2596\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2597\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2598\" class=\"mfenced\"><span id=\"MathJax-Span-2599\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2600\" class=\"mrow\"><span id=\"MathJax-Span-2601\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2602\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2603\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2604\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2605\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2606\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2607\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2608\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2609\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2610\" class=\"mfenced\"><span id=\"MathJax-Span-2611\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2612\" class=\"mrow\"><span id=\"MathJax-Span-2613\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2614\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2615\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2616\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2617\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2618\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2619\" class=\"mfenced\"><span id=\"MathJax-Span-2620\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2621\" class=\"mrow\"><span id=\"MathJax-Span-2622\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2623\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2624\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2625\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2626\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2627\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2628\" class=\"mfenced\"><span id=\"MathJax-Span-2629\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2630\" class=\"mrow\"><span id=\"MathJax-Span-2631\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2632\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2633\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2634\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2635\" class=\"mfenced\"><span id=\"MathJax-Span-2636\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2637\" class=\"mrow\"><span id=\"MathJax-Span-2638\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2639\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2640\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2641\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<div class=\"ques Answ opnQuestion\">\n<h4 class=\"tenClassQues\"><span class=\"ez-toc-section\" id=\"question-30\"><\/span>Question 30:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Factorize:<br><em>a<\/em>(<em>a<\/em>&nbsp;\u2212 2<em>b<\/em>&nbsp;\u2212&nbsp;<em>c<\/em>) + 2<em>bc<\/em><\/p>\n<\/div>\n<div id=\"quesA30\" class=\"ques Answ opnAnswer\">\n<h4><span class=\"ez-toc-section\" id=\"answer-31\"><\/span>ANSWER:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We have:<br><span id=\"MathJax-Element-52-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mi>a<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><mo>&#8211;<\/mo><mi>c<\/mi><\/mrow><\/mfenced><mo>+<\/mo><mn>2<\/mn><mi>b<\/mi><mi>c<\/mi><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><mi>c<\/mi><mo>+<\/mo><mn>2<\/mn><mi>b<\/mi><mi>c<\/mi><\/math>&#8220;><span id=\"MathJax-Span-2642\" class=\"math\"><span id=\"MathJax-Span-2643\" class=\"mrow\"><span id=\"MathJax-Span-2644\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2645\" class=\"mfenced\"><span id=\"MathJax-Span-2646\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2647\" class=\"mrow\"><span id=\"MathJax-Span-2648\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2649\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2650\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2651\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2652\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2653\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2654\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2655\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2656\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2657\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2658\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2659\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2660\" class=\"msup\"><span id=\"MathJax-Span-2661\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2662\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2663\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2664\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2665\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2666\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2667\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2668\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2669\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2670\" class=\"mo\">+<\/span><span id=\"MathJax-Span-2671\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2672\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2673\" class=\"mi\">c<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">aa-2b-c+2bc=a2-2ab-ac+2bc<\/span><\/span><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<span id=\"MathJax-Element-53-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; style=&quot;font-family:'Times New Roman'&quot;><mo>=<\/mo><mfenced><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced><mrow><mi>a<\/mi><mi>c<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><mi>c<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mi>a<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mi>c<\/mi><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mspace linebreak=&quot;newline&quot; \/><mo>=<\/mo><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><mi>b<\/mi><\/mrow><\/mfenced><mfenced><mrow><mi>a<\/mi><mo>&#8211;<\/mo><mi>c<\/mi><\/mrow><\/mfenced><\/math>&#8220;><span id=\"MathJax-Span-2674\" class=\"math\"><span id=\"MathJax-Span-2675\" class=\"mrow\"><span id=\"MathJax-Span-2676\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2677\" class=\"mfenced\"><span id=\"MathJax-Span-2678\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2679\" class=\"mrow\"><span id=\"MathJax-Span-2680\" class=\"msup\"><span id=\"MathJax-Span-2681\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2682\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-2683\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2684\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2685\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2686\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2687\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2688\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2689\" class=\"mfenced\"><span id=\"MathJax-Span-2690\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2691\" class=\"mrow\"><span id=\"MathJax-Span-2692\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2693\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2694\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2695\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2696\" class=\"mi\">b<\/span><span id=\"MathJax-Span-2697\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2698\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2699\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2700\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2701\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2702\" class=\"mfenced\"><span id=\"MathJax-Span-2703\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2704\" class=\"mrow\"><span id=\"MathJax-Span-2705\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2706\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2707\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2708\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2709\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2710\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2711\" class=\"mi\">c<\/span><span id=\"MathJax-Span-2712\" class=\"mfenced\"><span id=\"MathJax-Span-2713\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2714\" class=\"mrow\"><span id=\"MathJax-Span-2715\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2716\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2717\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2718\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2719\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2720\" class=\"mspace\"><\/span><span id=\"MathJax-Span-2721\" class=\"mo\">=<\/span><span id=\"MathJax-Span-2722\" class=\"mfenced\"><span id=\"MathJax-Span-2723\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2724\" class=\"mrow\"><span id=\"MathJax-Span-2725\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2726\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2727\" class=\"mn\">2<\/span><span id=\"MathJax-Span-2728\" class=\"mi\">b<\/span><\/span><span id=\"MathJax-Span-2729\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-2730\" class=\"mfenced\"><span id=\"MathJax-Span-2731\" class=\"mo\">(<\/span><span id=\"MathJax-Span-2732\" class=\"mrow\"><span id=\"MathJax-Span-2733\" class=\"mi\">a<\/span><span id=\"MathJax-Span-2734\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-2735\" class=\"mi\">c<\/span><\/span><span id=\"MathJax-Span-2736\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>This is the complete blog on the <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials. To know more about the <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 9 Maths exam, ask in the comments.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\"><\/span>FAQS on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1634111443865\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials-pdf\"><\/span>From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link in the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634111462001\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials-pdf\"><\/span>How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download it for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634111478591\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials-pdf-offline\"><\/span>Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials PDF Offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the PDF online, you can access it offline whenever you want.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials: If you are a Class 9 student preparing for Maths exam, then you must try the RS Aggarwal Solutions Class 9 Maths. All the solutions are easy to understand, reliable and very well-explained, all thanks to the subject matter experts. Download the RS Aggarwal &#8230; <a title=\"RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials (Updated For 2023)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-3-factorisation-of-polynomials\/\" aria-label=\"More on RS Aggarwal Solutions Class 9 Maths Chapter 3 Factorisation of Polynomials (Updated For 2023)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":138925,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73412,73410],"tags":[3086,77325,77333],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61228"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=61228"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61228\/revisions"}],"predecessor-version":[{"id":340987,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61228\/revisions\/340987"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/138925"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=61228"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=61228"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=61228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}