{"id":61568,"date":"2021-09-03T15:35:00","date_gmt":"2021-09-03T10:05:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=61568"},"modified":"2021-09-16T23:36:06","modified_gmt":"2021-09-16T18:06:06","slug":"rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/","title":{"rendered":"RD Sharma Solutions Class 9 Maths Chapter 5 &#8211; Factorization Of Algebraic Expressions (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-124416\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solutions-Class-9-Maths-Chapter-5-Factorization-Of-Algebraic-Expressions.png\" alt=\"RD Sharma Solutions Class 9 Maths Chapter 5\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solutions-Class-9-Maths-Chapter-5-Factorization-Of-Algebraic-Expressions.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solutions-Class-9-Maths-Chapter-5-Factorization-Of-Algebraic-Expressions-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\"><strong>RD Sharma Solutions Class 9 Maths Chapter 5 &#8211; Factorization Of Algebraic Expressions:<\/strong> Looking for some quality study material other than NCERT guides. Well, this is the right place you are looking for. We are here to present you <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths<\/a> Chapter 5. This is certainly one of the best choices to finish chapter 5 from CBSE Class 9 Mathematics syllabus.\u00a0<\/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-69e750d994ffe\" 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-69e750d994ffe\"><\/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-factorization-of-algebraic-expressions\/#rd-sharma-solutions-class-9-maths-chapter-5-%e2%80%93-factorization-of-algebraic-expressions-pdf\" title=\"RD Sharma Solutions Class 9 Maths Chapter 5 &#8211; Factorization Of Algebraic Expressions: PDF\">RD Sharma Solutions Class 9 Maths Chapter 5 &#8211; Factorization Of Algebraic Expressions: 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-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/#rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions-exercise-wise\" title=\"RD Sharma Solutions Class 9 Maths Chapter 5 Factorization Of Algebraic Expressions : Exercise-wise\">RD Sharma Solutions Class 9 Maths Chapter 5 Factorization Of Algebraic Expressions : Exercise-wise<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/#access-answers-of-rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\" title=\"Access answers of RD Sharma Solutions Class 9 Maths Chapter 5 : Factorization Of Algebraic Expressions\">Access answers of RD Sharma Solutions Class 9 Maths Chapter 5 : Factorization Of Algebraic Expressions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/#rd-sharma-class-9-chapter-5-factorisation-of-algebraic-expressions-ex-51\" title=\"RD Sharma Class 9 Chapter 5 Factorisation of Algebraic Expressions Ex 5.1\">RD Sharma Class 9 Chapter 5 Factorisation of Algebraic Expressions Ex 5.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/#factorisation-of-algebraic-expressions-rd-sharma-class-9-solutions-chapter-5-exercise-51\" title=\"Factorisation of Algebraic Expressions RD Sharma Class 9 Solutions Chapter 5 Exercise-5.1\">Factorisation of Algebraic Expressions RD Sharma Class 9 Solutions Chapter 5 Exercise-5.1<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/#important-topics-class-9-maths-chapter-5\" title=\"Important Topics Class 9 Maths Chapter 5\">Important Topics Class 9 Maths Chapter 5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/#rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\" title=\"RD Sharma Solutions Class 9 Maths Chapter 5 : Factorization Of Algebraic Expressions\">RD Sharma Solutions Class 9 Maths Chapter 5 : Factorization Of Algebraic Expressions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"rd-sharma-solutions-class-9-maths-chapter-5-%e2%80%93-factorization-of-algebraic-expressions-pdf\"><\/span><strong>RD Sharma Solutions Class 9 Maths Chapter 5 &#8211; Factorization Of Algebraic Expressions: PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/rd-5-1.pdf\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths Chapter 5<\/a><\/p>\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\/09\/rd-5-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions-exercise-wise\"><\/span><strong>RD Sharma Solutions Class 9 Maths Chapter 5 Factorization Of Algebraic Expressions : Exercise-wise<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-5-class-9-maths-exercise-5-1-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Chapter 5 Exercise 5.1<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-5-class-9-maths-exercise-5-2-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Chapter 5 Exercise 5.2<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-5-class-9-maths-exercise-5-3-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Chapter 5 Exercise 5.3<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-exercise-5-4\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Chapter 5 Exercise 5.4<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"access-answers-of-rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\"><\/span><strong>Access answers of RD Sharma Solutions Class 9 Maths Chapter 5 : Factorization Of Algebraic Expressions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"rd-sharma-class-9-chapter-5-factorisation-of-algebraic-expressions-ex-51\"><\/span>RD Sharma Class 9 Chapter 5 Factorisation of Algebraic Expressions Ex 5.1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Factorize<br \/>Question 1.<br \/>x<sup>3<\/sup>\u00a0+ x \u2013 3x<sup>2<\/sup>\u00a0\u2013 3<br \/>Solution:<br \/>x<sup>3<\/sup>\u00a0+ x \u2013 3x<sup>2<\/sup>\u00a0\u2013 3<br \/>x<sup>3<\/sup>\u00a0\u2013 3a<sup>2<\/sup>\u00a0+ x \u2013 3<br \/>\u21d2\u00a0 x<sup>2<\/sup>(x \u2013 3) + 1(x \u2013 3)<br \/>= (x \u2013 3) (x<sup>2<\/sup>\u00a0+ 1)<\/p>\n<p>Question 2.<br \/>a(a + b)<sup>3<\/sup>\u00a0\u2013 3a<sup>2<\/sup>b(a + b)<br \/>Solution:<br \/><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">a(a + b<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE105\">)<sup>3<\/sup><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE10\">\u00a0\u2013 3<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">a<sup>2<\/sup>b(a<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE10\">\u00a0+\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">b)<br \/><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">= a(a<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE10\">\u00a0+\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">b) {(a<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE10\">\u00a0+\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">b)<sup>2<\/sup>\u00a0\u2013<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE10\">\u00a03<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">ab}<br \/><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE10\">= a(a\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">+ b) {a<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE105\"><sup>2<\/sup><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">\u00a0+ b<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE105\"><sup>2<\/sup><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">\u00a0+ 2ab<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE10\">\u00a0\u2013 3<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">ab}<br \/><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">= a{a<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE10\">\u00a0+\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">b) {a<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3MSGENFONTSTYLEMODIFERSIZE105\"><sup>2<\/sup><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT3\">\u00a0\u2013 ab + b<sup>2<\/sup>)<\/span><\/p>\n<p>Question 3.<br \/>x(x<sup>3<\/sup>\u00a0\u2013 y<sup>3<\/sup>) + 3xy(x \u2013 y)<br \/>Solution:<br \/>x(x<sup>3<\/sup>\u00a0\u2013 y<sup>3<\/sup>) + 3xy(x \u2013 y)<br \/>= x(x \u2013 y) (x<sup>2<\/sup>\u00a0+ xy + y<sup>2<\/sup>) + 3xy(x \u2013 y)<br \/>= x(x \u2013 y) (x<sup>2<\/sup>\u00a0+ xy + y<sup>2<\/sup>\u00a0+ 3y)<br \/>= x(x \u2013 y) (x<sup>2<\/sup>\u00a0+ xy + y<sup>2<\/sup>\u00a0+ 3y)<\/p>\n<p>Question 4.<br \/>a<sup>2<\/sup>x<sup>2<\/sup>\u00a0+ (ax<sup>2<\/sup>\u00a0+1)x + a<br \/>Solution:<br \/>a<sup>2<\/sup>x<sup>2<\/sup>\u00a0+ (ax<sup>2<\/sup>\u00a0+ 1)x + a<br \/>= a<sup>2<\/sup>x<sup>2<\/sup>\u00a0+ a + (ax<sup>2<\/sup>\u00a0+ 1)x<br \/>= a(ax<sup>2<\/sup>\u00a0+ 1) + x(ax<sup>2<\/sup>\u00a0+ 1)<br \/>= (ax<sup>2<\/sup>\u00a0+ 1) (a + x)<br \/>= (x + a) (ax<sup>2<\/sup>\u00a0+ 1)<\/p>\n<p>Question 5.<br \/>x<sup>2<\/sup>\u00a0+ y \u2013 xy \u2013 x<br \/>Solution:<br \/>x<sup>2<\/sup>\u00a0+ y \u2013 xy \u2013 x<br \/>= x<sup>2<\/sup>-x-xy + y = x(x- l)-y(*- 1)<br \/>= (x \u2013 1) (x \u2013 y)<\/p>\n<p>Question 6.<br \/>X<sup>3<\/sup>\u00a0\u2013 2x<sup>2<\/sup>y + 3xy<sup>2<\/sup>\u00a0\u2013 6y<sup>3<br \/><\/sup>Solution:<br \/><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">x<sup>3<\/sup>\u00a0\u2013 2x<sup>2<\/sup>y + 3xy<sup>2<\/sup>\u00a0\u2013\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERITALIC\">6<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE105\">y<sup>3<\/sup><br \/>= x<sup>2<\/sup>(x \u2013 2y)<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u00a0+\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE105\">3y<sup>2<\/sup>(x \u2013 2y)<br \/><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">= (x \u2013 2y) (x<sup>2<\/sup>\u00a0+ 3y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE105\"><sup>2<\/sup><\/span>)<\/span><\/p>\n<p>Question 7.<br \/><em>6<\/em>ab \u2013 b<sup>2<\/sup>\u00a0+ 12ac \u2013 2bc<br \/>Solution:<br \/>6ab \u2013 b<sup>2<\/sup>\u00a0+ 12ac \u2013 2bc<br \/>= 6ab + 12ac \u2013 b<sup>2<\/sup>\u00a0\u2013 2bc<br \/>= 6a(b + 2c) \u2013 b(b + 2c)<br \/>= (b + 2c) (6a \u2013 b)<\/p>\n<p>Question 8.<br \/>x(x \u2013 2) (x \u2013 4) + 4x \u2013 8<br \/>Solution:<br \/>x(x \u2013 2) (x \u2013 4) + 4x \u2013 8<br \/>= x(x \u2013 2) (x \u2013 4) + 4(x \u2013 2)<br \/>= (x \u2013 2) [x(x \u2013 4) + 4]<br \/>= (x \u2013 2) (x<sup>2<\/sup>\u00a0\u2013 4x + 4)<br \/>= (x \u2013 2) [(x)<sup>2<\/sup>\u00a0\u2013 2 x x x 2 + (2)<sup>2<\/sup>]<br \/>= (x \u2013 2) (x \u2013 2)<sup>2<\/sup>\u00a0= (x \u2013 2)<sup>3<\/sup><\/p>\n<p>Question 9.<br \/>(a \u2013 b + c)<sup>2<\/sup>\u00a0+ (b \u2013 c + a)<sup>2<\/sup>\u00a0+ 2(a \u2013 b + c) (b \u2013 c + a)<br \/>Solution:<br \/><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">(a \u2013\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE105\">b<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u00a0+ c)<sup>2<\/sup>\u00a0+\u00a0( b- c+a)<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERITALIC\"><sup>2<\/sup><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u00a0+ 2(a\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE105\">\u2013 b + c) (b \u2013 c<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u00a0+ a)\u00a0 \u00a0 \u00a0\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">{\u2235\u00a0<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE105\">a<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERITALIC\"><sup>2<\/sup><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE105\">\u00a0+ b<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERITALIC\"><sup>2<\/sup><\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE105\">\u00a0+ 2ab<\/span><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u00a0= (a + b)<sup>2<\/sup>}<br \/>= [a \u2013 b + c + b- c + a]<sup>2<br \/><\/sup>= (2a)<sup>2<\/sup>\u00a0= 4a<sup>2<\/sup><\/span><\/p>\n<p>Question 10.<br \/>a<sup>2<\/sup>\u00a0+ 2ab + b<sup>2<\/sup>\u00a0\u2013 c<sup>2<\/sup><br \/>Solution:<br \/>a<sup>2<\/sup>\u00a0+ 2ab + b<sup>2<\/sup>\u00a0\u2013 c<sup>2<br \/><\/sup>= (a<sup>2<\/sup>\u00a0+ 2ab + b<sup>2<\/sup>) \u2013 c<sup>2<br \/><\/sup>= (a + b)<sup>2<\/sup>\u00a0\u2013 (c)<sup>2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/sup>{<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u2235\u00a0<\/span>\u00a0a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0= (a + b) (a \u2013 b)}<br \/>= (a + b + c) (a + b \u2013 c)<\/p>\n<p>Question 11.<br \/>a<sup>2<\/sup>\u00a0+ 4b<sup>2<\/sup>\u00a0\u2013 4ab \u2013 4c<sup>2<\/sup><br \/>Solution:<\/p>\n<p><img src=\"https:\/\/farm2.staticflickr.com\/1917\/30689526357_08e12554e8_o.png\" alt=\"RD Sharma Class 9 Solutions Chapter 5 Factorisation of Algebraic Expressions Ex 5.1 - 11\" width=\"348\" height=\"172\" \/><\/p>\n<p>Question 12.<br \/>x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0\u2013 4xz + 4z<sup>2<br \/><\/sup>Solution:<br \/>x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0\u2013 4xz + 4z<sup>2<br \/><\/sup>= x<sup>2<\/sup>\u00a0\u2013 4xz + 4z<sup>2<\/sup>\u00a0\u2013 y<sup>2<br \/><\/sup>= (x)<sup>2<\/sup>\u00a0\u2013 2 x x x 2z + (2z)<sup>2<\/sup>\u00a0\u2013 (y)<sup>2<br \/><\/sup>= (x \u2013 2z)<sup>2<\/sup>\u00a0\u2013 (y)<sup>2<br \/><\/sup>= (x \u2013 2z + y) (x \u2013 2z \u2013 y)<br \/>= (x +y \u2013 2z) (x \u2013 y \u2013 2z)<\/p>\n<p>Question 13.<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1918\/45579946632_2b846428d3_o.png\" alt=\"RD Sharma Class 9 Chapter 5 Factorisation of Algebraic Expressions\" width=\"144\" height=\"57\" \/><br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1943\/30689526167_33f8950c34_o.png\" alt=\"RD Sharma Class 9 Solutions Chapter 5 Factorisation of Algebraic Expressions\" width=\"369\" height=\"447\" \/><\/p>\n<p>Question 14.<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1947\/30689525937_7cee8717e3_o.png\" alt=\"RD Sharma Solutions Class 9 Chapter 5 Factorisation of Algebraic Expressions\" width=\"141\" height=\"59\" \/><br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1967\/45579946422_39a761aaca_o.png\" alt=\"RD Sharma Class 9 PDF Chapter 5 Factorisation of Algebraic Expressions\" width=\"339\" height=\"312\" \/><\/p>\n<p>Question 15.<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1915\/30689525647_271e61799c_o.png\" alt=\"Factorisation of Algebraic Expressions Class 9 RD Sharma Solutions\" width=\"137\" height=\"57\" \/><br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1980\/31758196328_e4c568d3dd_o.png\" alt=\"RD Sharma Class 9 Solution Chapter 5 Factorisation of Algebraic Expressions\" width=\"315\" height=\"215\" \/><\/p>\n<p>Question 16.<br \/>Give possible expression for the length and breadth of the rectangle having 35y<sup>2<\/sup>\u00a0+ 13y\u00a0\u2013 12 as its area.<br \/>Solution:<br \/>Area of a rectangle = 35y<sup>2<\/sup>\u00a0+ 13y \u2013 12<br \/>= 35y<sup>2<\/sup>\u00a0+ 28y- 15y- 12<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1912\/30689525387_6d50729ee2_o.png\" alt=\"Class 9 RD Sharma Solutions Chapter 5 Factorisation of Algebraic Expressions\" width=\"325\" height=\"151\" \/><br \/>(i) If length = 5y + 4, then breadth = 7y \u2013 3<br \/>(ii) and if length = 7y-3, then length = 5y+ 4<\/p>\n<p>Question 17.<br \/>What are the possible expressions for the dimensions of the cuboid whose volume is 3x<sup>2<\/sup>\u00a0\u2013 12x.<br \/>Solution:<br \/>Volume 3x<sup>2<\/sup>\u00a0\u2013 12x<br \/>= 3x(x \u2013 4)<br \/>\u2234 Factors are 3, x, and x \u2013 4<br \/>Now, if length = 3, breadth = x and height = x \u2013 4<br \/>if length =3, breadth = x \u2013 4, height = x<br \/>if length = x, breadth = 3, height = x \u2013 4<br \/>if length = x, breadth = x \u2013 4, height = 3<br \/>if length = x \u2013 4, breadth = 3, height = x<br \/>if length \u2013 x \u2013 4, breadth = x, height = 3<\/p>\n<p>Question 18.<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1959\/31758196088_b7df25f622_o.png\" alt=\"Class 9 Maths Chapter 5 Factorisation of Algebraic Expressions RD Sharma Solutions\" width=\"216\" height=\"64\" \/><br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1903\/45579946092_3d0858eb35_o.png\" alt=\"RD Sharma Book Class 9 PDF Free Download Chapter 5 Factorisation of Algebraic Expressions\" width=\"364\" height=\"271\" \/><\/p>\n<p>Question 19.<br \/>(x + 2) (x<sup>2<\/sup>\u00a0+ 25) \u2013 10x<sup>2<\/sup>\u00a0\u2013 20x<br \/>Solution:<br \/>(x + 2) (x<sup>2<\/sup>\u00a0+ 25) \u2013 10x<sup>2<\/sup>\u00a0\u2013 20x<br \/>= (x + 2) (x<sup>2<\/sup>\u00a0+ 25) \u2013 10x(x + 2)<br \/>= (x + 2) [x<sup>2<\/sup>\u00a0+ 25 \u2013 10x]<br \/>= (x + 2) [(x)<sup>2<\/sup>\u00a0\u2013 2 x\u00a0x\u00a0x 5 + (5)<sup>2<\/sup>]<br \/>= (x + 2) (x \u2013 5)<sup>2<\/sup><\/p>\n<p>Question 20.<br \/>2a<sup>2<\/sup>\u00a0+ 2<span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"msqrt\"><span id=\"MathJax-Span-4\" class=\"mrow\"><span id=\"MathJax-Span-5\" class=\"mn\">6<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>\u00a0ab +3b<sup>2<br \/><\/sup>Solution:<br \/>2a<sup>2<\/sup>\u00a0+ 2<span id=\"MathJax-Element-2-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-6\" class=\"math\"><span id=\"MathJax-Span-7\" class=\"mrow\"><span id=\"MathJax-Span-8\" class=\"msqrt\"><span id=\"MathJax-Span-9\" class=\"mrow\"><span id=\"MathJax-Span-10\" class=\"mn\">6<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>\u00a0 ab +3 b<sup>2<br \/><\/sup>= (<span id=\"MathJax-Element-3-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-11\" class=\"math\"><span id=\"MathJax-Span-12\" class=\"mrow\"><span id=\"MathJax-Span-13\" class=\"msqrt\"><span id=\"MathJax-Span-14\" class=\"mrow\"><span id=\"MathJax-Span-15\" class=\"mn\">2<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>\u00a0a)<sup>2<\/sup>+\u00a0<span id=\"MathJax-Element-4-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-16\" class=\"math\"><span id=\"MathJax-Span-17\" class=\"mrow\"><span id=\"MathJax-Span-18\" class=\"msqrt\"><span id=\"MathJax-Span-19\" class=\"mrow\"><span id=\"MathJax-Span-20\" class=\"mn\">2<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>\u00a0a x\u00a0<span id=\"MathJax-Element-5-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-21\" class=\"math\"><span id=\"MathJax-Span-22\" class=\"mrow\"><span id=\"MathJax-Span-23\" class=\"msqrt\"><span id=\"MathJax-Span-24\" class=\"mrow\"><span id=\"MathJax-Span-25\" class=\"mn\">3<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>\u00a0b+ (<span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-26\" class=\"math\"><span id=\"MathJax-Span-27\" class=\"mrow\"><span id=\"MathJax-Span-28\" class=\"msqrt\"><span id=\"MathJax-Span-29\" class=\"mrow\"><span id=\"MathJax-Span-30\" class=\"mn\">3<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>\u00a0b)<sup>2<br \/><\/sup>= (<span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-31\" class=\"math\"><span id=\"MathJax-Span-32\" class=\"mrow\"><span id=\"MathJax-Span-33\" class=\"msqrt\"><span id=\"MathJax-Span-34\" class=\"mrow\"><span id=\"MathJax-Span-35\" class=\"mn\">2<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>a +\u00a0<span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-36\" class=\"math\"><span id=\"MathJax-Span-37\" class=\"mrow\"><span id=\"MathJax-Span-38\" class=\"msqrt\"><span id=\"MathJax-Span-39\" class=\"mrow\"><span id=\"MathJax-Span-40\" class=\"mn\">3<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>\u00a0b)2<\/p>\n<p>Question 21.<br \/>a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ 2(ab + bc + ca)<br \/>Solution:<br \/>a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ 2(ab + bc + ca)<br \/>= a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ 2 ab + 2 bc + 2 ca<br \/>= (a + b)<sup>2<\/sup>\u00a0+ 2c(b + a)<br \/>= (a + b)<sup>2<\/sup>\u00a0+ 2c(a + b)<br \/>= (a + b) (a + b + 2c)<\/p>\n<p>Question 22.<br \/>4(x \u2013 y)<sup>2<\/sup>\u00a0\u2013 12(x -y) (x + y) + 9(x + y)<sup>2<br \/><\/sup>Solution:<br \/>4(x \u2013 y)<sup>2<\/sup>\u00a0\u2013 12(x \u2013 y) (x + y) + 9(x + y)<sup>2<br \/><\/sup>= [2(x \u2013 y)<sup>2<\/sup>\u00a0+ 2 x 2(x \u2013 y) x 3(x + y) + [3 (x+y]<sup>2\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/sup>{<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u2235<\/span>\u00a0a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ 2 abc = (a + b)<sup>2<\/sup>}<br \/>= [2(x \u2013 y) + 3(x + y)]<sup>2<br \/><\/sup>= (2x-2y + 3x + 3y)<sup>2<\/sup><br \/>= (5x + y)<sup>2<\/sup><\/p>\n<p>Question 23.<br \/>a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0+ 2bc \u2013 c<sup>2<\/sup><br \/>Solution:<br \/>a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0+ 2bc \u2013 c<sup>2<br \/><\/sup>= a<sup>2<\/sup>\u00a0\u2013 (b<sup>2<\/sup>\u00a0\u2013 2bc + c<sup>2<\/sup>)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0{<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u2235<\/span>\u00a0a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0\u2013 2abc = (a \u2013 b)<sup>2<\/sup>}<br \/>= a<sup>2<\/sup>\u00a0\u2013 (b \u2013 c)<sup>2<br \/><\/sup>= (a)<sup>2<\/sup>\u00a0\u2013 (b \u2013 c)<sup>2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/sup>{<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u2235<\/span>\u00a0a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0= (a + b) (a \u2013 b)}<br \/>= (a + b \u2013 c) (a \u2013 b + c)<\/p>\n<p>Question 24.<br \/>xy<sup>9<\/sup>\u00a0\u2013 yx<sup>9<br \/><\/sup>Solution:<br \/>xy<sup>9<\/sup>\u00a0\u2013 yx<sup>9<\/sup>\u00a0= xy(y<sup>8<\/sup>\u00a0\u2013 x<sup>8<\/sup>)<br \/>= -xy(x<sup>8<\/sup>\u00a0\u2013 y<sup>8<\/sup>)<br \/>= -xy[(x<sup>4<\/sup>)<sup>2<\/sup>\u00a0\u2013 (y<sup>4<\/sup>)<sup>2<\/sup>]<br \/>= -xy (x<sup>4<\/sup>\u00a0+ y<sup>4<\/sup>) (x<sup>4<\/sup>\u00a0\u2013 y<sup>4<\/sup>)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0{<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u2235\u00a0<\/span>a<sup>2<\/sup>-b<sup>2<\/sup>\u00a0= (a + b) (a \u2013 b)}<br \/>= -xy (x<sup>4<\/sup>\u00a0+ y<sup>4<\/sup>) {(x<sup>2<\/sup>)<sup>2<\/sup>\u00a0\u2013 (y<sup>2<\/sup>)<sup>2<\/sup>}<br \/>= -xy(x<sup>4\u00a0<\/sup>+ y<sup>4<\/sup>) (x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>) (x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>)<br \/>= -xy (x<sup>4<\/sup>\u00a0+y<sup>4<\/sup>) (x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>) (x + y) (x -y)<br \/>= -xy(x \u2013 y) (x + y) (x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>) (x<sup>4<\/sup>\u00a0+ y<sup>4<\/sup>)<\/p>\n<p>Question 25.<br \/>x<sup>4<\/sup>\u00a0+ x<sup>2<\/sup>y<sup>2<\/sup>\u00a0+ y<sup>4<br \/><\/sup>Solution:<br \/>x<sup>4<\/sup>\u00a0+ x<sup>2<\/sup>y<sup>2<\/sup>\u00a0+ y<sup>4<\/sup>\u00a0 = (x<sup>2<\/sup>)<sup>2<\/sup>\u00a0+ 2x<sup>2<\/sup>y<sup>2<\/sup>\u00a0+ y<sup>4<\/sup>\u00a0\u2013 x<sup>2<\/sup>y<sup>2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/sup>(Adding and subtracting x<sup>2<\/sup>y<sup>2<\/sup>)<br \/>= (x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>)<sup>2<\/sup>\u00a0\u2013 (xy)<sup>2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/sup>{<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2\">\u2235<\/span>\u00a0a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0= (a + b) (a \u2013 b)}<br \/>= (x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0+ xy) (x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0\u2013 xy)<br \/>= (x<sup>2<\/sup>\u00a0+ xy + y<sup>2<\/sup>) (x<sup>2<\/sup>\u00a0\u2013 xy + y<sup>2<\/sup>)<\/p>\n<p>Question 26.<br \/>x<sup>2<\/sup>\u00a0+ 6<span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-41\" class=\"math\"><span id=\"MathJax-Span-42\" class=\"mrow\"><span id=\"MathJax-Span-43\" class=\"msqrt\"><span id=\"MathJax-Span-44\" class=\"mrow\"><span id=\"MathJax-Span-45\" class=\"mn\">2<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>x + 10<br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1944\/30689525177_9d3d267b2f_o.png\" alt=\"RD Sharma Class 9 Book Chapter 5 Factorisation of Algebraic Expressions\" width=\"349\" height=\"235\" \/><\/p>\n<p>Question 27.<br \/>x<sup>2<\/sup>\u00a0+ 2<span id=\"MathJax-Element-10-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-46\" class=\"math\"><span id=\"MathJax-Span-47\" class=\"mrow\"><span id=\"MathJax-Span-48\" class=\"msqrt\"><span id=\"MathJax-Span-49\" class=\"mrow\"><span id=\"MathJax-Span-50\" class=\"mn\">2<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>x- 30<br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1979\/30689524887_7ea1bcdba0_o.png\" alt=\"Algebraic Identities Problems With Solutions PDF RD Sharma Class 9 Solutions\" width=\"329\" height=\"156\" \/><\/p>\n<p>Question 28.<br \/>x<sup>2<\/sup>\u00a0\u2013\u00a0<span id=\"MathJax-Element-11-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-51\" class=\"math\"><span id=\"MathJax-Span-52\" class=\"mrow\"><span id=\"MathJax-Span-53\" class=\"msqrt\"><span id=\"MathJax-Span-54\" class=\"mrow\"><span id=\"MathJax-Span-55\" class=\"mn\">3<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>x \u2013 6<br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1942\/45579945782_773566ab35_o.png\" alt=\"RD Sharma Class 9 Maths Book Questions Chapter 5 Factorisation of Algebraic Expressions\" width=\"334\" height=\"226\" \/><\/p>\n<p>Question 29.<br \/>x<sup>2<\/sup>\u00a0+ 5\u00a0<span id=\"MathJax-Element-12-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-56\" class=\"math\"><span id=\"MathJax-Span-57\" class=\"mrow\"><span id=\"MathJax-Span-58\" class=\"msqrt\"><span id=\"MathJax-Span-59\" class=\"mrow\"><span id=\"MathJax-Span-60\" class=\"mn\">5<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>x + 30<br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1956\/30689524557_d38319ba79_o.png\" alt=\"RD Sharma Mathematics Class 9 Solutions Chapter 5 Factorisation of Algebraic Expressions\" width=\"333\" height=\"232\" \/><\/p>\n<p>Question 30.<br \/>x<sup>2<\/sup>\u00a0+ 2\u00a0<span id=\"MathJax-Element-13-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-61\" class=\"math\"><span id=\"MathJax-Span-62\" class=\"mrow\"><span id=\"MathJax-Span-63\" class=\"msqrt\"><span id=\"MathJax-Span-64\" class=\"mrow\"><span id=\"MathJax-Span-65\" class=\"mn\">3<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>x \u2013 24<br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1975\/45579945622_78666d4d81_o.png\" alt=\"Solution Of Rd Sharma Class 9 Chapter 5 Factorisation of Algebraic Expressions\" width=\"350\" height=\"230\" \/><\/p>\n<p>Question 31.<br \/>5\u00a0<span id=\"MathJax-Element-14-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-66\" class=\"math\"><span id=\"MathJax-Span-67\" class=\"mrow\"><span id=\"MathJax-Span-68\" class=\"msqrt\"><span id=\"MathJax-Span-69\" class=\"mrow\"><span id=\"MathJax-Span-70\" class=\"mn\">5<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>x<sup>2<\/sup>\u00a0+ 20x + 3<span id=\"MathJax-Element-15-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-71\" class=\"math\"><span id=\"MathJax-Span-72\" class=\"mrow\"><span id=\"MathJax-Span-73\" class=\"msqrt\"><span id=\"MathJax-Span-74\" class=\"mrow\"><span id=\"MathJax-Span-75\" class=\"mn\">5<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span><br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1951\/30689524277_3e386a35aa_o.png\" alt=\"RD Sharma Math Solution Class 9 Chapter 5 Factorisation of Algebraic Expressions\" width=\"332\" height=\"180\" \/><br \/><img src=\"https:\/\/farm2.staticflickr.com\/1907\/45579945452_c9962d3e51_o.png\" alt=\"RD Sharma Class 9 Questions Chapter 5 Factorisation of Algebraic Expressions\" width=\"278\" height=\"74\" \/><\/p>\n<p>Question 32.<br \/>2x<sup>2<\/sup>\u00a0+ 3<span id=\"MathJax-Element-16-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-76\" class=\"math\"><span id=\"MathJax-Span-77\" class=\"mrow\"><span id=\"MathJax-Span-78\" class=\"msqrt\"><span id=\"MathJax-Span-79\" class=\"mrow\"><span id=\"MathJax-Span-80\" class=\"mn\">5<\/span><\/span>\u2013\u221a<\/span><\/span><\/span><\/span>\u00a0x + 5<br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1959\/31758195368_fe72cd9c0a_o.png\" alt=\"Maths RD Sharma Class 9 Chapter 5 Factorisation of Algebraic Expressions\" width=\"331\" height=\"256\" \/><\/p>\n<p>Question 33.<br \/>9(2a \u2013 b)<sup>2<\/sup>\u00a0\u2013 4(2a \u2013 b) \u2013 13<br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1952\/31758195128_0c79924423_o.png\" alt=\"RD Sharma Class 9 Solutions Chapter 5 Ex 5.1\" width=\"360\" height=\"275\" \/><\/p>\n<p>Question 34.<br \/>7(x-2y) \u2013 25(x-2y) +12<br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1958\/31758194828_8c286b6f7e_o.png\" alt=\"RD Sharma Class 9 Chapter 5 Factorisation of Algebraic Expressions\" width=\"333\" height=\"252\" \/><\/p>\n<p>Question 35.<br \/>2(x+y) \u2013 9(x+y) -5<br \/>Solution:<br \/>2(x+y) \u2013 9(x+y) -5<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1955\/31758194598_56490be781_o.png\" alt=\"RD Sharma Class 9 Solutions Chapter 5 Factorisation of Algebraic Expressions\" width=\"334\" height=\"243\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"factorisation-of-algebraic-expressions-rd-sharma-class-9-solutions-chapter-5-exercise-51\"><\/span>Factorisation of Algebraic Expressions RD Sharma Class 9 Solutions Chapter 5 Exercise-5.1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Factorisation of Algebraic Expressions RD Sharma Class 9 Solutions Chapter 5 Exercise-5.1 Q 1.<br \/><img src=\"https:\/\/farm8.staticflickr.com\/7606\/17027407365_caed6a11d0_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-01\" width=\"231\" height=\"302\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7653\/17026542241_44fc0f078c_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-2\" width=\"325\" height=\"386\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8752\/16407257843_6c2291d68a_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-3\" width=\"422\" height=\"223\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8735\/16839628888_2131d7f7bd_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-4\" width=\"346\" height=\"337\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8688\/17026542861_a7e637c672_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-5\" width=\"351\" height=\"304\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7655\/16819989437_f9faab04cd_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-6\" width=\"465\" height=\"209\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7606\/17026542831_e88a3e8e4b_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-7\" width=\"364\" height=\"242\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7646\/17025958262_24ca34d8e2_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-8\" width=\"354\" height=\"552\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8732\/16404983544_098ed4ce6f_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-9\" width=\"271\" height=\"425\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7586\/16839868290_e5d75f8cff_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-10\" width=\"352\" height=\"387\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8684\/16407257703_2e106f341d_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-11\" width=\"302\" height=\"271\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8725\/16839868210_ef42dd5506_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-12\" width=\"362\" height=\"427\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8753\/16839868200_0c0ec809e4_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-13\" width=\"303\" height=\"365\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7584\/16819989357_170c97595f_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-14\" width=\"357\" height=\"549\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7592\/16841190399_e8e0e92aec_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-15\" width=\"277\" height=\"321\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7651\/16839628688_d251d4a5e5_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-16\" width=\"276\" height=\"245\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7595\/16407257603_59cdb97ee5_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-17\" width=\"323\" height=\"381\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7649\/17027407695_35c5f6c6fb_o.jpg\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-18\" width=\"343\" height=\"548\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7587\/16819989247_4ea402bd41_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-19\" width=\"381\" height=\"423\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7589\/16404983344_93922583ff_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-20\" width=\"310\" height=\"356\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7639\/17026542521_fe8d670ab1_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-21\" width=\"437\" height=\"235\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8753\/16841190289_d8bb3491bc_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-22\" width=\"545\" height=\"235\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm9.staticflickr.com\/8745\/16839868020_e78c09a6bf_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-23\" width=\"465\" height=\"235\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8695\/16839868000_7b94cb496b_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-24\" width=\"506\" height=\"235\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm9.staticflickr.com\/8724\/17026542441_872d8cac39_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-25\" width=\"526\" height=\"237\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm9.staticflickr.com\/8696\/16404983224_a6906a8295_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-26\" width=\"451\" height=\"291\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm8.staticflickr.com\/7590\/16841190139_7a50ae2124_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-27\" width=\"470\" height=\"328\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7602\/16819989107_7d48fdb00f_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-28\" width=\"246\" height=\"274\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7647\/16839867830_bf732e79aa_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-29\" width=\"488\" height=\"235\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8692\/16839867810_1556c2dbe1_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-30\" width=\"505\" height=\"235\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm8.staticflickr.com\/7644\/17026542311_1e85abde7c_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-31\" width=\"371\" height=\"409\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm9.staticflickr.com\/8749\/16404983114_2ef00fbf32_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-32\" width=\"380\" height=\"410\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm9.staticflickr.com\/8708\/16404983074_a1dc5a62a2_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-33\" width=\"331\" height=\"410\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm9.staticflickr.com\/8709\/16404983034_cab3848e84_o.jpg\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-34\" width=\"347\" height=\"271\" \/><br \/><img class=\"alignnone\" src=\"https:\/\/farm9.staticflickr.com\/8720\/16841189949_13b8ce59c8_o.gif\" alt=\"Factorisation-of-Algebraic-Expressions-RD-Sharma-Class-9-Solutions-35\" width=\"464\" height=\"166\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-topics-class-9-maths-chapter-5\"><\/span><strong>Important Topics Class 9 Maths Chapter 5<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Well, nothing beats a quick revision session then getting through the important sections of the chapter. So, here we are with &#8211;<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Factorisation by taking out the common factors<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Factorisation by grouping the terms<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Factorisation by making a perfect square<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Factorisation by the difference of two squares<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The Factorisation of quadratic polynomials by splitting the middle term<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The Factorisation of algebraic expressions expressible as the sum or difference of two cubes<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Well, this is everything that one needs to finish their <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a> Class 9 maths syllabus. The entire chapter simplifies the concept of <\/span><span style=\"font-weight: 400;\">factorisation and how to simplify an algebraic expression using the factorisation method. The process of factorization can be stated as the disintegration of a term into smaller factors. Whereas, the algebraic expressions are built up of variables, integer constants, and basic arithmetic operations of algebra.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\"><\/span><strong>RD Sharma Solutions Class 9 Maths Chapter 5 : Factorization Of Algebraic Expressions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 9 Maths Chapter 5 &#8211; Factorization Of Algebraic Expressions: Looking for some quality study material other than NCERT guides. Well, this is the right place you are looking for. We are here to present you RD Sharma Solutions Class 9 Maths Chapter 5. This is certainly one of the best choices &#8230; <a title=\"RD Sharma Solutions Class 9 Maths Chapter 5 &#8211; Factorization Of Algebraic Expressions (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/\" aria-label=\"More on RD Sharma Solutions Class 9 Maths Chapter 5 &#8211; Factorization Of Algebraic Expressions (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":124416,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3081,3037,3086],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61568"}],"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=61568"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61568\/revisions"}],"predecessor-version":[{"id":128666,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61568\/revisions\/128666"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/124416"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=61568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=61568"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=61568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}