{"id":73293,"date":"2021-02-05T00:25:29","date_gmt":"2021-02-04T18:55:29","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73293"},"modified":"2021-02-05T00:25:33","modified_gmt":"2021-02-04T18:55:33","slug":"rd-sharma-chapter-4-class-9-maths-exercise-4-2-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-9-maths-exercise-4-2-solutions\/","title":{"rendered":"RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions is based on the Square of a Trinomial, which is the part of the Algebraic Expressions. The answers to the questions are prepared by the proficient of our institute in an easy way, which helps students to use the formulas in the right problems. The tips and tricks are also mentioned in the RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions PDF to make the solutions easier for the learners.<\/p>\n<p>In Exercise 4.1, we have learned about the standard Algebraic identities. But, in Exercise 4.2, students will learn about some special cases of the square of a trinomial that is mentioned in this article with formulas and examples.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-4-algebraic-identities\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Class 9 Chapter 4- Algebraic Identities<\/strong><\/a><\/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-69dbc4a338f91\" 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-69dbc4a338f91\"><\/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\/rd-sharma-chapter-4-class-9-maths-exercise-4-2-solutions\/#download-rd-sharma-chapter-4-class-9-maths-exercise-42-solutions-pdf\" title=\"Download RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions PDF\">Download RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions 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\/rd-sharma-chapter-4-class-9-maths-exercise-4-2-solutions\/#important-definitions-rd-sharma-chapter-4-class-9-maths-exercise-42-solutions\" title=\"Important Definitions RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions\">Important Definitions RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions<\/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\/rd-sharma-chapter-4-class-9-maths-exercise-4-2-solutions\/#expand-form-of-a-square-of-a-trinomial\" title=\"Expand Form of a Square of a Trinomial\">Expand Form of a Square of a Trinomial<\/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-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-9-maths-exercise-4-2-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-4-class-9-maths-exercise-42-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-4-class-9-maths-exercise-42-solutions-pdf\"><\/span>Download RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/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\/02\/Solutions-for-Class-9-Maths-Chapter-4-Algebraic-Identities-Exercise-4.2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-4-Algebraic-Identities-Exercise-4.2.pdf\">Solutions for Class 9 Maths Chapter 4 Algebraic Identities Exercise 4.2<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-4-class-9-maths-exercise-42-solutions\"><\/span>Important Definitions RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Have a look at the formulas of the square of a trinomial mentioned below in the points-<\/p>\n<ol>\n<li>(a+b+c)2= a2+ b2+ c2+ 2ab- 2bc- 2ca<\/li>\n<li>(a-b+c)2= a2+ b2+ c2- 2ab- 2bc+ 2ca<\/li>\n<li>(-a+b+c)2=a2+b2+c2-2ab+2bc-2ca<\/li>\n<li>(a-b-c)2= a2+ b2+ c2- 2ab- 2bc- 2ca<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"expand-form-of-a-square-of-a-trinomial\"><\/span>Expand Form of a Square of a Trinomial<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>The square of the total of three or more expressions can be defined by the formula of the determination of the square of the sum of two expressions.<\/p>\n<p>Now check how to expand a square of a Trinomial-<\/p>\n<p>Let, (b+c) = x<\/p>\n<p>Then,<\/p>\n<p>=(a + b + c)2 = (a + x)2 = a2 + 2ax + x2<\/p>\n<p>= a2 + 2a (b + c) + (b + c)2<\/p>\n<p>= a2 + 2ab + 2ac + (b2 + c2 + 2bc)<\/p>\n<p>= a2 + b2 + c2 + 2ab + 2bc + 2ca<\/p>\n<p>Therefore, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca has proved.<\/p>\n<p>Examples-<\/p>\n<p><strong>Ques- If a + b + c = 0 and a<\/strong><strong>2<\/strong><strong> + b<\/strong><strong>2<\/strong><strong> + c<\/strong><strong>2<\/strong><strong> = 16, find the value of ab + bc + ca.<\/strong><\/p>\n<p><strong>Solution<\/strong>&#8211;<\/p>\n<p>a + b + c = 0 and a2 + b2 + c2 = 16 (given)<\/p>\n<p>Choose a + b + c = 0<\/p>\n<p>Squaring both sides,<\/p>\n<p>(a + b + c)2 = 0<\/p>\n<p>a2 + b2 + c2 + 2(ab + bc + ca) = 0<\/p>\n<p>16 + 2(ab + bc + c) = 0<\/p>\n<p>2(ab + bc + ca) = -16<\/p>\n<p>ab + bc + ca = -16\/2 = -8<\/p>\n<p>or ab + bc + ca = -8<\/p>\n<p><strong>Ques- (a + b + c)<\/strong><strong>2<\/strong><strong> \u2212 (a \u2212 b + c)<\/strong><strong> 2<\/strong><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p>(a + b + c)2 \u2212 (a \u2212 b + c) 2= (a2 + b2 + c2 + 2ab + 2bc + 2ca) \u2212 (a2 + (\u2212b) 2 + c2 \u22122ab \u2212 2bc + 2ca)<\/p>\n<p>= a2 + b2 + c2 + 2ab + 2bc + 2ca \u2212 a2 \u2212 b2 \u2212 c2 + 2ab + 2bc \u2212 2ca<\/p>\n<p>= 4ab + 4bc<\/p>\n<p><strong>Ques- <\/strong><strong>(p<\/strong><strong>2<\/strong><strong> + q<\/strong><strong>2<\/strong><strong> \u2212 r<\/strong><strong>2<\/strong><strong>)<\/strong><strong> 2<\/strong><strong> \u2212 (p<\/strong><strong>2<\/strong><strong> \u2212 q<\/strong><strong>2<\/strong><strong> + r<\/strong><strong>2<\/strong><strong>)<\/strong><strong> 2<\/strong><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p>(p2 + q2 \u2212 r2) 2 \u2212 (p2 \u2212 q2 + r2) 2 = (p2 + q2 + (\u2212r) 2) 2 \u2212 (p2 \u2212 q2 + r2) 2<\/p>\n<p>= [p4 + q4 + r4 + 2p2q2 \u2013 2q2r 2 \u2013 2p2r2 \u2212 [p4 + q4 + r4 \u2212 2p2q2 \u2212 2q2r2 + 2p2r2]<\/p>\n<p>= 4p2q2 \u2013 4r2p2<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-4-class-9-maths-exercise-42-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1- How do you find the square of a trinomial?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Take a binomial and multiply it to itself. You end up with a perfect square trinomial.<\/p>\n<p><strong>Ques 2- How do you complete the square of a trinomial?<\/strong><\/p>\n<p><strong>Ans-<\/strong> A perfect square trinomial is factored in, so the equation can be solved by taking the square root of both sides.<\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions is based on the Square of a Trinomial, which is the part of the Algebraic Expressions. The answers to the questions are prepared by the proficient of our institute in an easy way, which helps students to use the formulas in the right problems. The &#8230; <a title=\"RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-9-maths-exercise-4-2-solutions\/\" aria-label=\"More on RD Sharma Chapter 4 Class 9 Maths Exercise 4.2 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73298,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73293"}],"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\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=73293"}],"version-history":[{"count":2,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73293\/revisions"}],"predecessor-version":[{"id":73594,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73293\/revisions\/73594"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73298"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73293"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73293"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73293"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}