{"id":73345,"date":"2021-02-05T22:25:57","date_gmt":"2021-02-05T16:55:57","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73345"},"modified":"2021-02-05T22:26:03","modified_gmt":"2021-02-05T16:56:03","slug":"rd-sharma-chapter-5-class-9-maths-exercise-5-3-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-5-class-9-maths-exercise-5-3-solutions\/","title":{"rendered":"RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions students will learn about the Factorization of Algebraic Expressions but by applying the formulae for the cube of a binomial. In the attached PDF, students can practice with several types of questions. The PDF is prepared by the professionals from CBSE Maths Book.<\/p>\n<p>But before start practicing the questions with Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions, students are advised to by-heart the formulas of Algebraic Expression that help to solve questions more conveniently in a short period of time. Go through the article to know the important definitions and expanded form of the formulas of the Excercise 5.3 of Chapter 5 Class 9.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Chapter 5 (Factorization of Algebraic Expression) Class 9<\/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-6a0577e26122e\" 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-6a0577e26122e\"><\/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-5-class-9-maths-exercise-5-3-solutions\/#download-rd-sharma-chapter-5-class-9-maths-exercise-53-solutions-pdf\" title=\"Download RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions PDF\">Download RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 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-5-class-9-maths-exercise-5-3-solutions\/#important-definitions-rd-sharma-chapter-5-class-9-maths-exercise-53-solutions\" title=\"Important Definitions RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions\">Important Definitions RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-5-class-9-maths-exercise-5-3-solutions\/#benefits-of-rd-sharma-chapter-5-class-9-maths-exercise-53-solutions\" title=\"Benefits of RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions\">Benefits of RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-5-class-9-maths-exercise-5-3-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-5-class-9-maths-exercise-53-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-5-class-9-maths-exercise-53-solutions-pdf\"><\/span>Download RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 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\/Class-9-Maths-Chapter-5-Factorization-of-Algebraic-Expressions-Exercise-5.3.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Class-9-Maths-Chapter-5-Factorization-of-Algebraic-Expressions-Exercise-5.3.pdf\">Class 9 Maths Chapter 5 Factorization of Algebraic Expressions Exercise 5.3<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-5-class-9-maths-exercise-53-solutions\"><\/span>Important Definitions RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Check out the formulas below based on the Factorization of Algebraic Expressions by using for the cube of a binomial.<\/p>\n<ol>\n<li>(x + y)<sup>3<\/sup> = x<sup>3<\/sup> + y<sup>3<\/sup> + 3x<sup>2<\/sup>y + 3xy<sup>2<\/sup><\/li>\n<li>(x &#8211; y)<sup>3 <\/sup>= x<sup>3<\/sup> \u2212 y<sup>3<\/sup> \u2212 3x<sup>2<\/sup>y + 3xy<sup>2<\/sup><\/li>\n<\/ol>\n<p>Have a look at the examples based on the above formulas-<\/p>\n<p><strong>Ques- 64a<sup>3<\/sup> + 125b<sup>3<\/sup> + 240a<sup>2<\/sup>b + 300ab<sup>2<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>64a<sup>3<\/sup> + 125b<sup>3<\/sup> + 240a<sup>2<\/sup>b + 300ab<sup>2 <\/sup><\/p>\n<p>Algebraic Identity- x<sup>3<\/sup> + y<sup>3<\/sup> + 3xy (x + y) = (x + y)<sup>3<\/sup><\/p>\n<p>= (4a)<sup>3<\/sup> + (5b)<sup> 3 <\/sup>+ 3(4a)<sup>2 <\/sup>(5b) + 3(4a)(5b)<sup>2<\/sup><\/p>\n<p>= (4a+5b)<sup>3<\/sup><\/p>\n<p>Therefore, 64a<sup>3<\/sup> + 125b<sup>3<\/sup> + 240a<sup>2<\/sup>b + 300ab<sup>2 <\/sup>= (4a+5b)<sup>3<\/sup><\/p>\n<p><strong>Ques- 125x<sup>3<\/sup><\/strong><strong> \u2212 27y<sup>3<\/sup><\/strong><strong> \u2212 225x<sup>2<\/sup>y + 135xy<sup>2<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>=125x<sup>3<\/sup> \u2212 27y<sup>3<\/sup> \u2212 225x<sup>2<\/sup>y + 135xy<sup>2<\/sup><\/p>\n<p>Algebraic Identity- x<sup>3<\/sup> \u2212 y<sup>3<\/sup> \u2212 3x<sup>2<\/sup>y + 3xy<sup>2 <\/sup>= (x \u2013 y)<sup>3<\/sup><\/p>\n<p>= (5x)<sup>3<\/sup>\u2212 (3y)<sup>3 <\/sup>\u2212 3(5x)<sup>2 <\/sup>(3y) + 3(5x) (3y)<sup>2<\/sup><\/p>\n<p>= (5x \u2212 3y)<sup>3<\/sup><\/p>\n<p>= (5x \u2212 3y) (5x \u2212 3y) (5x \u2212 3y)<\/p>\n<p>Therefore, 125x<sup>3 <\/sup>\u2212 27y<sup>3<\/sup> \u2212 225x<sup>2<\/sup>y + 135xy<sup>2<\/sup> = (5x \u2212 3y)<sup>3<\/sup><\/p>\n<h3><span class=\"ez-toc-section\" id=\"benefits-of-rd-sharma-chapter-5-class-9-maths-exercise-53-solutions\"><\/span>Benefits of RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The questions mentioned in the PDF will help to score well in the exam because the explanation of each problem is given in a stepwise expanded form, which is easily understandable. The problems are mainly taken from the book RD Sharma and the NCERT Class 9 Mathematics Book.<\/p>\n<p>There are many questions with a complete explanation based on the Factorization of Algebraic Expressions by applying the formulae for the cube of a binomial (mentioned in this article). Students will learn various tips and tricks, which help them solve the problems fast in the examination.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-5-class-9-maths-exercise-53-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Ques 1- What are the formulas used for the Factorization of Algebraic Expressions for the cube of a binomial?<\/p>\n<p>Ans- The formulas used for solving the Factorization of Algebraic Expressions for the cube of a binomial are-<\/p>\n<ol>\n<li>(x + y)<sup>3<\/sup> = x<sup>3<\/sup> + y<sup>3<\/sup> + 3x<sup>2<\/sup>y + 3xy<sup>2<\/sup><\/li>\n<li>(x &#8211; y)<sup>3 <\/sup>= x<sup>3<\/sup> \u2212 y<sup>3<\/sup> \u2212 3x<sup>2<\/sup>y + 3xy<sup>2<\/sup><\/li>\n<\/ol>\n<p>Ques 2- Does PDF contains the stepwise explanation of each question?<\/p>\n<p>Ans- Yes, the PDF attached to this article contains the stepwise explanation for each question given. Also, the tips and tricks to solve the problems in a limited time.<\/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 5 Class 9 Maths Exercise 5.3 Solutions students will learn about the Factorization of Algebraic Expressions but by applying the formulae for the cube of a binomial. In the attached PDF, students can practice with several types of questions. The PDF is prepared by the professionals from CBSE Maths Book. But before &#8230; <a title=\"RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-5-class-9-maths-exercise-5-3-solutions\/\" aria-label=\"More on RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73338,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411,73410],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73345"}],"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=73345"}],"version-history":[{"count":2,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73345\/revisions"}],"predecessor-version":[{"id":73795,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73345\/revisions\/73795"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73338"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}