{"id":73127,"date":"2021-02-04T15:10:45","date_gmt":"2021-02-04T09:40:45","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73127"},"modified":"2021-02-04T15:10:48","modified_gmt":"2021-02-04T09:40:48","slug":"rd-sharma-chapter-4-class-9-maths-exercise-4-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-9-maths-exercise-4-1-solutions\/","title":{"rendered":"RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions"},"content":{"rendered":"\n<p>The RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions is based on Algebraic Identities. Students will get to learn about these expressions in detail. In this article, we will explain about using Algebraic Identities in the problems. Our experts prepare the questions in the PDF we attached below with easy solutions.<\/p>\n<p>As we know, algebra is the part of Maths, to represent the quantities and number the several symbols and letters will be used in the form of formulas and equations. It is compulsory for the students to learn all the formulas and should have the knowledge when to use the particular formula in the questions.<\/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-69db575fb9b16\" 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-69db575fb9b16\"><\/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-4-1-solutions\/#download-rd-sharma-chapter-9-4-class-9-maths-exercise-41-solutions-pdf\" title=\"Download RD Sharma Chapter 9 4 Class 9 Maths Exercise 4.1 Solutions PDF\">Download RD Sharma Chapter 9 4 Class 9 Maths Exercise 4.1 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-4-1-solutions\/#important-definition-rd-sharma-chapter-4-class-9-maths-exercise-41-solutions\" title=\"Important Definition RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions\">Important Definition RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 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-4-1-solutions\/#benefits-of-rd-sharma-chapter-4-class-9-maths-exercise-41-solutions\" title=\"Benefits of RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions\">Benefits of RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 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-4-class-9-maths-exercise-4-1-solutions\/#frequently-asked-questions-faqs\" title=\"Frequently Asked Questions (FAQs)\">Frequently Asked Questions (FAQs)<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-9-4-class-9-maths-exercise-41-solutions-pdf\"><\/span><strong>Download RD Sharma Chapter 9 4 Class 9 Maths Exercise 4.1 Solutions PDF<\/strong><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-4.1.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-4.1.pdf\">Solutions for Class 9 Maths Chapter 4 Algebraic Identities Exercise 4.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-rd-sharma-chapter-4-class-9-maths-exercise-41-solutions\"><\/span><strong>Important Definition RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions is based on the following formulas-<\/p>\n<p><img class=\"alignnone wp-image-73128 size-full\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/4.1-1.png\" alt=\"RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions\" width=\"379\" height=\"143\" \/><\/p>\n<p>Look down for some examples based on the formulas of algebraic identities mentioned above-<\/p>\n<p><strong>Ques)- (3p &#8211; 1\/p)\u00b2<\/strong><\/p>\n<p>Solution- (3p &#8211; 1\/p)\u00b2<\/p>\n<p>= Algebraic Identity- (a-b)\u00b2 = a\u00b2 &#8211; 2ab + b\u00b2<\/p>\n<p>= (3p &#8211; 1\/p)\u00b2 = (3p)\u00b2 &#8211; (2 x 3p x 1\/p) + (1\/p)\u00b2<\/p>\n<p>= 9p\u00b2 &#8211; 6 + 1\/p\u00b2<\/p>\n<p><strong>Ques)- (3x + y) (3x &#8211; y)<\/strong><\/p>\n<p>Solution- (3x + y) (3x &#8211; y)<\/p>\n<p>= Algebric Identity- (a + b) (a &#8211; b) = a\u00b2 &#8211; b\u00b2<\/p>\n<p>= (3x + y) (3x &#8211; y) = 3x\u00b2 &#8211; y\u00b2<\/p>\n<p>= 3x\u00b2 &#8211; y\u00b2<\/p>\n<p><strong>Ques)- 175 x 175 +2 x 175 x 25 + 25 x 25<\/strong><\/p>\n<p>Solution- 175 x 175 +2 x 175 x 25 + 25 x 25<\/p>\n<p>= Algebraic Identity- a\u00b2 + 2ab + b\u00b2 = (a+b)\u00b2<\/p>\n<p>= (175)\u00b2 + 2 (175) (25) + (25)\u00b2<\/p>\n<p>= (175 + 25)\u00b2<\/p>\n<p>= (200)\u00b2<\/p>\n<p>= 40000<\/p>\n<h3><span class=\"ez-toc-section\" id=\"benefits-of-rd-sharma-chapter-4-class-9-maths-exercise-41-solutions\"><\/span><strong>Benefits of RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Go to the following points to know the Benefits of the RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions-<\/p>\n<ol>\n<li>The solutions we have prepared in the above PDF is based on the NCERT Syllabus with detailed information.<\/li>\n<li>With the help of RD Sharma, students will get to learn tips and tricks to solve the questions by applying algebraic identities.<\/li>\n<li>The answers to the questions are presented organized stepwise in an easy way.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs\"><\/span><strong>Frequently Asked Questions (FAQs)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques 1- How many algebraic identities are there?<\/strong><\/p>\n<p><strong>Ans)-<\/strong> There are majorly four algebraic identities. The algebraic identities are used by using basic formulas mentioned below-<\/p>\n<p><img class=\"alignnone wp-image-73128 size-full\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/4.1-1.png\" alt=\"RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions\" width=\"379\" height=\"143\" \/><\/p>\n<p><strong>Ques 2- What is algebraic identity?<\/strong><\/p>\n<p><strong>Ans)-<\/strong> An algebraic identity is an identity that exists for any values of its variables.<\/p>\n<p><strong>Ques 3- Are all identity equations?<\/strong><\/p>\n<p><strong>Ans)-<\/strong> An equation satisfied for all variable values determining the expressions is termed as an identity. So, the identity is a unique case of an equation.<\/p>\n<p>In other words, all identities can be equations, but not all equations will be identities.<\/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>The RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions is based on Algebraic Identities. Students will get to learn about these expressions in detail. In this article, we will explain about using Algebraic Identities in the problems. Our experts prepare the questions in the PDF we attached below with easy solutions. As we &#8230; <a title=\"RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-9-maths-exercise-4-1-solutions\/\" aria-label=\"More on RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73131,"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\/73127"}],"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=73127"}],"version-history":[{"count":2,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73127\/revisions"}],"predecessor-version":[{"id":73394,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73127\/revisions\/73394"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73131"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73127"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}