{"id":73300,"date":"2021-02-05T00:25:31","date_gmt":"2021-02-04T18:55:31","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73300"},"modified":"2021-02-05T00:25:34","modified_gmt":"2021-02-04T18:55:34","slug":"rd-sharma-chapter-4-class-9-maths-exercise-4-3-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-9-maths-exercise-4-3-solutions\/","title":{"rendered":"RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions is about the cube of a binomial. In this article, the identity will get extended for the square of a binomial to the cube of a binomial. The PDF is attached to this article for the learners, which helps them solve the problems with an easy method and shortcuts provided by our experts.<\/p>\n<p>In this article, we have attached the RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions PDF for the students, which helps them to practice to score well in the exam. The students will learn how to solve the questions in a limited time with shortcuts. Basically, in this exercise, it is very important to remember the formulas.<\/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-69dbc4a2d241e\" 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-69dbc4a2d241e\"><\/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-4-3-solutions\/#download-rd-sharma-chapter-4-class-9-maths-exercise-43-solutions-pdf\" title=\"Download RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions PDF\">Download RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 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-4-class-9-maths-exercise-4-3-solutions\/#important-definitions-rd-sharma-chapter-4-class-9-maths-exercise-43-solutions\" title=\"Important Definitions RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions\">Important Definitions RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 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-4-class-9-maths-exercise-4-3-solutions\/#sum-of-cubes\" title=\"Sum of Cubes\">Sum of Cubes<\/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-4-class-9-maths-exercise-4-3-solutions\/#differences-of-cubes\" title=\"Differences of Cubes\">Differences of Cubes<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-4-class-9-maths-exercise-43-solutions-pdf\"><\/span>Download RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 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\/Solutions-for-Class-9-Maths-Chapter-4-Algebraic-Identities-Exercise-4.3.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-4.3.pdf\">Solutions for Class 9 Maths Chapter 4 Algebraic Identities Exercise 4.3<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-4-class-9-maths-exercise-43-solutions\"><\/span>Important Definitions RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The questions of this exercise will be solved based on the formulas mentioned in the following points-<\/p>\n<h3><span class=\"ez-toc-section\" id=\"sum-of-cubes\"><\/span>Sum of Cubes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>(x + y)3= x3 + 3x2y + 3xy2 + y3<\/p>\n<p>= x3 + 3xy(x + y) + y3<\/p>\n<h3><span class=\"ez-toc-section\" id=\"differences-of-cubes\"><\/span>Differences of Cubes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>(x \u2013 y)3 = x3 \u2013 3x2y + 3xy2 \u2013 y3<\/p>\n<p>= x3 \u2013 3xy(x \u2013 y) \u2013 y3<\/p>\n<p>Here are some examples we are showing for the learners to understand about applying the formula in a correct question-<\/p>\n<p><strong>Ques)- (p + 5q)<\/strong><strong>3<\/strong><strong> + (p \u2013 5q)<\/strong><strong>3<\/strong><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p>Algebraic Identity- (a+b)3 = a3 + b3 + 3ab(a+b)<\/p>\n<p>= p3 + 3(p2 x 5q) + 3(p x 5q2)+ (5q)3 + p3 &#8211; 3(p2 x 5q) + 3(p x 5q2) &#8211; (5q)3<\/p>\n<p>= x3 + 15p2q + 75pq2 + 125q3 + p3 &#8211; 15p2q + 75pq2 &#8211; 125q3<\/p>\n<p>= 2p3 + 150pq2<\/p>\n<p>Therefore, (p + 5q)3 + (p \u2013 5q)3 = 2p3 + 150pq2<\/p>\n<p><strong>Ques)- (5m + 2n)<\/strong><strong>3<\/strong><strong> &#8211; (5m \u2013 2n)<\/strong><strong>3<\/strong><\/p>\n<p><strong>Solution-\u00a0<\/strong><\/p>\n<p>= (5m + 2n)3 &#8211; (5m \u2013 2n)3<\/p>\n<p>= {(5m)3 + 3 (5m)2 (2n) + 3 (5m) (2n)2 + (2n)3} \u2013 {(5m)3 &#8211; 3 (5m)2 (2n) + 3 (5m) (2n)2 &#8211; (2n)3}<\/p>\n<p>= {125 m3 + 150 m2 n + 60 m n2 + 8 n3} \u2013 {125 m3 &#8211; 150 m2 n + 60 m n2 &#8211; 8 n3}<\/p>\n<p>= 125 m3 + 150 m2 n + 60 m n2 + 8 n3 \u2013 125 m3 + 150 m2 n &#8211; 60 m n2 + 8 n3<\/p>\n<p>= 125 m3 \u2013 125 m3 + 150 m2 n + 150 m2 n + 60 m n2 &#8211; 60 m n2 + 8 n3 + 8 n3<\/p>\n<p>= 300 m2 n + 16 n3<\/p>\n<p>Therefore, (5m + 2n)3 &#8211; (5m \u2013 2n)3 = 300 m2 n + 16 n3<\/p>\n<p><strong>Note- &#8220;Cubing&#8221; is the procedure of raising a value to the power of 3, which means to multiply a value three times, like- 10<\/strong><strong>3 <\/strong><strong>= 10 x 10 x10.<\/strong><\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">Know about CBSE Board<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions is about the cube of a binomial. In this article, the identity will get extended for the square of a binomial to the cube of a binomial. The PDF is attached to this article for the learners, which helps them solve the problems with an &#8230; <a title=\"RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-9-maths-exercise-4-3-solutions\/\" aria-label=\"More on RD Sharma Chapter 4 Class 9 Maths Exercise 4.3 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73302,"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\/73300"}],"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=73300"}],"version-history":[{"count":2,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73300\/revisions"}],"predecessor-version":[{"id":73595,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73300\/revisions\/73595"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73302"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}