{"id":71485,"date":"2021-02-04T15:14:09","date_gmt":"2021-02-04T09:44:09","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71485"},"modified":"2021-02-04T15:14:13","modified_gmt":"2021-02-04T09:44:13","slug":"rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/","title":{"rendered":"RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions"},"content":{"rendered":"\n<p><span style=\"font-weight: 400;\">In this exercise of RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions, students will learn about the Factorization of Algebraic Expressions. Students will get to know how to solve algebraic identities like- \u00a0x3 + y3 + z3 \u2013 3xyz<\/span><span style=\"font-weight: 400;\">. Also, about the Factorisation of the sum of the cubes when their sum is zero. Moreover, this exercise of <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 9 Chapter 5 of Algebraic Expressions<\/a> will help to score easily in the exam as it is very easy to solve (get solve in 2 steps max), and formulae are not so difficult to learn.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Let\u2019s go down and check the solution of the question, like- when the factorization of the sum of the cubes when their sum is zero. The attached PDF is prepared by our experts with an easy and explained step-by-step solution. Go through the article to know more about the Factorization of Algebraic Expressions<\/span><span style=\"font-weight: 400;\">.<\/span><\/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-69e7672eb2079\" 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-69e7672eb2079\"><\/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-solutions-class-9-maths-chapter-5-exercise-5-4\/#download-rd-sharma-chapter-5-class-9-maths-exercise-54-solutions\" title=\"Download RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions\">Download RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions<\/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-solutions-class-9-maths-chapter-5-exercise-5-4\/#important-definitions-rd-sharma-chapter-5-class-9-maths-exercise-54-solutions\" title=\"Important Definitions RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions\">Important Definitions RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 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-solutions-class-9-maths-chapter-5-exercise-5-4\/#ques-a3-8b3-64c3-%e2%88%92-24abc\" title=\"Ques- a3 + 8b3 + 64c3 \u2212 24abc\">Ques- a3 + 8b3 + 64c3 \u2212 24abc<\/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\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/#solution\" title=\"Solution:\">Solution:<\/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\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/#ques-127-x3-%e2%88%92-y3-125z3-5xyz\" title=\"Ques- 1\/27 x3 \u2212 y3 + 125z3 + 5xyz\">Ques- 1\/27 x3 \u2212 y3 + 125z3 + 5xyz<\/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\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/#solution-2\" title=\"Solution:\">Solution:<\/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\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/#ques-3x%e2%88%922y3-2y%e2%88%924z-3-4z%e2%88%923x-3\" title=\"Ques- (3x\u22122y)3 + (2y\u22124z) 3 + (4z\u22123x) 3\">Ques- (3x\u22122y)3 + (2y\u22124z) 3 + (4z\u22123x) 3<\/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\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/#solution-3\" title=\"Solution:\">Solution:<\/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-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-5-class-9-maths-exercise-54-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-5-class-9-maths-exercise-54-solutions\"><\/span><span style=\"font-weight: 400;\">Download <\/span><span style=\"font-weight: 400;\">RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions<\/span><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\/01\/Class-9-Maths-Chapter-5-Factorization-of-Algebraic-Expressions-Exercise-5.4.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Class-9-Maths-Chapter-5-Factorization-of-Algebraic-Expressions-Exercise-5.4.pdf\">Class 9 Maths Chapter 5 Factorization of Algebraic Expressions Exercise 5.4<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-5-class-9-maths-exercise-54-solutions\"><\/span><span style=\"font-weight: 400;\">Important Definitions RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">In this Exercise, the Factorization of Algebraic Expressions is based on the following topic-<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> Factorization of the algebraic identity of the form x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + y<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + z<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u2013 3xyz.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">= x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + y<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + z<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u2013 3xyz = (x + y + z) (x<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + y<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + z<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> \u2013 xy \u2013 yz \u2013 zx)<\/span><\/p>\n<ol start=\"2\">\n<li><span style=\"font-weight: 400;\"> Factorization of the sum of the cubes if their sum is zero.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">= If (x + y + z) = 0 then x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + y<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + z<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> = 3xyz<\/span><\/p>\n<p><span style=\"font-weight: 400;\">On the basis of above agebraic expressions we have provided some examples below, although PDF is attached for more practice with lot of questions and their explanations-<\/span><\/p>\n<h4><span class=\"ez-toc-section\" id=\"ques-a3-8b3-64c3-%e2%88%92-24abc\"><\/span><strong>Ques- a<\/strong><strong>3<\/strong><strong> + 8b<\/strong><strong>3 <\/strong><strong>+ 64c<\/strong><strong>3 <\/strong><strong>\u2212 24abc<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<h4><span class=\"ez-toc-section\" id=\"solution\"><\/span><strong>Solution<\/strong><span style=\"font-weight: 400;\">:<\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><span style=\"font-weight: 400;\">a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + 8b<\/span><span style=\"font-weight: 400;\">3 <\/span><span style=\"font-weight: 400;\">+ 64c<\/span><span style=\"font-weight: 400;\">3 <\/span><span style=\"font-weight: 400;\">\u2212 24abc = (a)<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + (2b)<\/span><span style=\"font-weight: 400;\"> 3 <\/span><span style=\"font-weight: 400;\">+ (4c)<\/span><span style=\"font-weight: 400;\"> 3<\/span><span style=\"font-weight: 400;\">\u2212 3\u00d7a\u00d72b\u00d74c<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Algebraic Identity- a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\">+ b<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\">+ c<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\">\u2212 3abc = (a+b+c) (a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">+b<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">+c<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">\u2212 ab\u2212 bc\u2212 ca)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">= (a+2b+4c) [a<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">+ (2b)<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + (4c)<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">\u2212 a\u00d72b \u2212 2b\u00d74c \u2212 4c\u00d7a]<\/span><\/p>\n<p><span style=\"font-weight: 400;\">= (a+2b+4c) (a<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">+ 4b<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">+ 16c<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">\u2212 2ab\u2212 8bc\u2212 4ac)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + 8b<\/span><span style=\"font-weight: 400;\">3 <\/span><span style=\"font-weight: 400;\">+ 64c<\/span><span style=\"font-weight: 400;\">3 <\/span><span style=\"font-weight: 400;\">\u2212 24abc = (a+2b+4c) (a<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">+ 4b<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">+ 16c<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">\u2212 2ab\u2212 8bc\u2212 4ac)<\/span><\/p>\n<h4><span class=\"ez-toc-section\" id=\"ques-127-x3-%e2%88%92-y3-125z3-5xyz\"><\/span>Ques- 1\/27 x3 \u2212 y3 + 125z3 + 5xyz<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<h4><span class=\"ez-toc-section\" id=\"solution-2\"><\/span>Solution:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><span style=\"font-weight: 400;\">1\/27 x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u2212 y<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + 125z<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + 5xyz<\/span><\/p>\n<p><span style=\"font-weight: 400;\">= (x\/3)<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\">+ (\u2212y)<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> +(5z)<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u2013 3 x\/3 (\u2212y) (5z)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Algebraic Identity- a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + b<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + c<\/span><span style=\"font-weight: 400;\">3 <\/span><span style=\"font-weight: 400;\">\u22123abc = (a + b + c) (a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">+b<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">+c<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">\u2212 ab\u2212 bc\u2212 ca)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">= (x\/3 + (\u2212y) + 5z) [(x\/3)<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + (\u2212y)<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + (5z)<\/span><span style=\"font-weight: 400;\"> 2 <\/span><span style=\"font-weight: 400;\">\u2013x\/3(\u2212y) \u2212 (\u2212y)5z\u2212 5z(x\/3)]<\/span><\/p>\n<p><span style=\"font-weight: 400;\">= (x\/3 \u2212y + 5z) (x^2\/9 + <\/span><span style=\"font-weight: 400;\">y<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + 25z<\/span><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">+ xy\/3 + 5yz \u2013 5zx\/3)<\/span><\/p>\n<h4><span class=\"ez-toc-section\" id=\"ques-3x%e2%88%922y3-2y%e2%88%924z-3-4z%e2%88%923x-3\"><\/span>Ques- (3x\u22122y)3 + (2y\u22124z) 3 + (4z\u22123x) 3<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<h4><span class=\"ez-toc-section\" id=\"solution-3\"><\/span>Solution:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><span style=\"font-weight: 400;\">(3x\u22122y)<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + (2y\u22124z)<\/span><span style=\"font-weight: 400;\"> 3<\/span><span style=\"font-weight: 400;\"> + (4z\u22123x)<\/span><span style=\"font-weight: 400;\"> 3<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Let (3x\u22122y) = a, (2y\u22124z) = b, (4z\u22123x) = c<\/span><\/p>\n<p><span style=\"font-weight: 400;\">a + b + c= 3x\u2212 2y+ 2y\u2212 4z+ 4z\u2212 3x = 0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">We know, a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + b<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + c<\/span><span style=\"font-weight: 400;\">3 <\/span><span style=\"font-weight: 400;\">\u2212 3abc = (a + b + c) (a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">+ b<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">+ c<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">\u2212 ab\u2212 bc\u2212 ca)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">=<\/span><span style=\"font-weight: 400;\"> a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + b<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + c<\/span><span style=\"font-weight: 400;\">3 <\/span><span style=\"font-weight: 400;\">\u2212 3abc = 0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">or a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + b<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + c<\/span><span style=\"font-weight: 400;\">3 <\/span><span style=\"font-weight: 400;\">= 3abc<\/span><\/p>\n<p><span style=\"font-weight: 400;\">=<\/span><span style=\"font-weight: 400;\"> (3x\u22122y)<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + (2y\u22124z)<\/span><span style=\"font-weight: 400;\"> 3<\/span><span style=\"font-weight: 400;\"> + (4z\u22123x)<\/span><span style=\"font-weight: 400;\"> 3<\/span><span style=\"font-weight: 400;\"> = 3(3x\u22122y) (2y\u22124z) (4z\u22123x)<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-5-class-9-maths-exercise-54-solutions\"><\/span><span style=\"font-weight: 400;\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1- On what topic of Exercise 5.4 of Chapter 5 Class 9 Algebraic Expression is based?<\/strong><\/p>\n<p><strong>Ans- <\/strong><span style=\"font-weight: 400;\">Exercise 5.4 of Chapter 5 Class 9 is based on the Factorization of Algebraic Expression. Mainly the topics and related formulas are mentioned below-<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> Factorization of the algebraic identity of the form x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + y<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + z<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u2013 3xyz.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">= x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + y<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + z<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u2013 3xyz = (x + y + z) (x<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + y<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + z<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> \u2013 xy \u2013 yz \u2013 zx)<\/span><\/p>\n<ol start=\"2\">\n<li><span style=\"font-weight: 400;\"> Factorization of the sum of the cubes if their sum is zero.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">= If (x + y + z) = 0 then x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + y<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> + z<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> = 3xyz<\/span><\/p>\n<p><strong>Ques 2- What is Algebraic Expressions?<\/strong><\/p>\n<p><strong>Ans- <\/strong><span style=\"font-weight: 400;\">An algebraic expression is an identity formed up from integer constants, variables, and algebraic operations like- addition, multiplication, subtraction, division, and exponentiation by a type that is a rational number).<\/span><\/p>\n<p><a href=\"https:\/\/cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">Click Here<\/a> to know more about the RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this exercise of RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions, students will learn about the Factorization of Algebraic Expressions. Students will get to know how to solve algebraic identities like- \u00a0x3 + y3 + z3 \u2013 3xyz. Also, about the Factorisation of the sum of the cubes when their sum is &#8230; <a title=\"RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/\" aria-label=\"More on RD Sharma Chapter 5 Class 9 Maths Exercise 5.4 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":71512,"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\/71485"}],"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=71485"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71485\/revisions"}],"predecessor-version":[{"id":73401,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71485\/revisions\/73401"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71512"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}