{"id":3276,"date":"2022-12-09T07:48:53","date_gmt":"2022-12-09T07:48:53","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3276"},"modified":"2023-01-31T06:52:57","modified_gmt":"2023-01-31T06:52:57","slug":"ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-2\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 9 (Algebraic Expressions and Identities)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 8 Mathematics <strong>Chapter &#8211; 9 Algebraic Expressions and Identities <\/strong>Exercise 9.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 9: Algebraic Expressions and Identities<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 9.1<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 9.3<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 9.4<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 9.5<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 9.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>1.\u00a0Find the product of the following pairs of monomials.<\/strong><br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)<\/strong> 4, 7p<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> \u2013 4p, 7p<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong> \u2013 4p, 7pq<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) <\/strong>4p<sup>3<\/sup>, \u2013 3p<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(v)<\/strong> 4p, 0<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) 4 , 7 p<br \/>\n<\/strong>=\u00a0 4 \u00d7 7 \u00d7 p = 28p<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) \u2013 4p\u00a0\u00d7\u00a07p<br \/>\n<\/strong>=\u00a0(-4 \u00d7 7 ) \u00d7 (p \u00d7 p )<br \/>\n= &#8211; 28p<sup>2<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) \u2013 4p\u00a0\u00d7\u00a07pq<br \/>\n<\/strong>= (-4 \u00d7 7 ) (p \u00d7 pq)<br \/>\n= \u00a0-28p<sup>2<\/sup>q<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) 4p<sup>3<\/sup>\u00a0\u00d7 \u2013 3p<br \/>\n<\/strong>= (4 \u00d7 -3 ) (p<sup>3<\/sup>\u00a0\u00d7 p )<br \/>\n= \u00a0-12p<sup>4<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v) 4p \u00d7 0<br \/>\n<\/strong>=\u00a00<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>2. Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(p, q) ; (10m, 5n) ; (20x<sup>2<\/sup>\u00a0, 5y<sup>2<\/sup>) ; (4x, 3x<sup>2<\/sup>) ; (3mn, 4np)<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Area of rectangle = Length x breadth.<br \/>\nSo, it is multiplication of two monomials.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">The results can be written in square units.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(i) (p, q)<br \/>\n<\/strong>Length = p <\/span><br \/>\n<span style=\"color: #000000;\">Breadth = q<\/span><br \/>\n<span style=\"color: #000000;\">\u2234 Area of the rectangle = Length \u00d7 Breadth<\/span><br \/>\n<span style=\"color: #000000;\">= p \u00d7 q<\/span><br \/>\n<span style=\"color: #000000;\">= pq<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(ii) (10m, 5n)<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">Length = 10 m<\/span><br \/>\n<span style=\"color: #000000;\">Breadth = 5 n<\/span><br \/>\n<span style=\"color: #000000;\">\u2234 Area of the rectangle = Length \u00d7 Breadth<\/span><br \/>\n<span style=\"color: #000000;\">= (10m) \u00d7 (5n)<\/span><br \/>\n<span style=\"color: #000000;\">= (10 \u00d7 5) \u00d7 (m \u00d7 n)<\/span><br \/>\n<span style=\"color: #000000;\">= 50 \u00d7 (mn)<\/span><br \/>\n<span style=\"color: #000000;\">= 50 mn<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) (<span id=\"MathJax-Element-4-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=\"mn\">20<\/span><span id=\"MathJax-Span-54\" class=\"msubsup\"><span id=\"MathJax-Span-55\" class=\"texatom\"><span id=\"MathJax-Span-56\" class=\"mrow\"><span id=\"MathJax-Span-57\" class=\"mi\">x<\/span><\/span><\/span><sup><span id=\"MathJax-Span-58\" class=\"texatom\"><span id=\"MathJax-Span-59\" class=\"mrow\"><span id=\"MathJax-Span-60\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><span id=\"MathJax-Span-61\" class=\"mo\">, <\/span><span id=\"MathJax-Span-62\" class=\"mspace\"><\/span><span id=\"MathJax-Span-63\" class=\"mn\">5<\/span><span id=\"MathJax-Span-64\" class=\"msubsup\"><span id=\"MathJax-Span-65\" class=\"texatom\"><span id=\"MathJax-Span-66\" class=\"mrow\"><span id=\"MathJax-Span-67\" class=\"mi\">y<\/span><\/span><\/span><sup><span id=\"MathJax-Span-68\" class=\"texatom\"><span id=\"MathJax-Span-69\" class=\"mrow\"><span id=\"MathJax-Span-70\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span>)<\/strong><br \/>\nLength =\u00a0<span id=\"MathJax-Element-5-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=\"mn\">20<\/span><span id=\"MathJax-Span-74\" class=\"msubsup\"><span id=\"MathJax-Span-75\" class=\"texatom\"><span id=\"MathJax-Span-76\" class=\"mrow\"><span id=\"MathJax-Span-77\" class=\"mi\">x<\/span><\/span><\/span><sup><span id=\"MathJax-Span-78\" class=\"texatom\"><span id=\"MathJax-Span-79\" class=\"mrow\"><span id=\"MathJax-Span-80\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span><br \/>\nBreadth =\u00a0<span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-81\" class=\"math\"><span id=\"MathJax-Span-82\" class=\"mrow\"><span id=\"MathJax-Span-83\" class=\"mn\">5<\/span><span id=\"MathJax-Span-84\" class=\"msubsup\"><span id=\"MathJax-Span-85\" class=\"texatom\"><span id=\"MathJax-Span-86\" class=\"mrow\"><span id=\"MathJax-Span-87\" class=\"mi\">y<\/span><\/span><\/span><sup><span id=\"MathJax-Span-88\" class=\"texatom\"><span id=\"MathJax-Span-89\" class=\"mrow\"><span id=\"MathJax-Span-90\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span><br \/>\n\u2234 Area of the rectangle = Length \u00d7 Breadth<br \/>\n= (<span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-91\" class=\"math\"><span id=\"MathJax-Span-92\" class=\"mrow\"><span id=\"MathJax-Span-93\" class=\"mn\">20 \u00d7 <\/span><span id=\"MathJax-Span-94\" class=\"msubsup\"><span id=\"MathJax-Span-98\" class=\"texatom\"><span id=\"MathJax-Span-99\" class=\"mrow\"><span id=\"MathJax-Span-100\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>) \u00d7 (<span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-101\" class=\"math\"><span id=\"MathJax-Span-102\" class=\"mrow\"><span id=\"MathJax-Span-103\" class=\"mn\">5<\/span><span id=\"MathJax-Span-104\" class=\"msubsup\"><span id=\"MathJax-Span-105\" class=\"texatom\"><span id=\"MathJax-Span-106\" class=\"mrow\"><span id=\"MathJax-Span-107\" class=\"mi\">y<\/span><\/span><\/span><sup><span id=\"MathJax-Span-108\" class=\"texatom\"><span id=\"MathJax-Span-109\" class=\"mrow\"><span id=\"MathJax-Span-110\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span>)<br \/>\n= (20 \u00d7 5) \u00d7 (<span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-111\" class=\"math\"><span id=\"MathJax-Span-112\" class=\"mrow\"><span id=\"MathJax-Span-113\" class=\"msubsup\"><span id=\"MathJax-Span-114\" class=\"texatom\"><span id=\"MathJax-Span-115\" class=\"mrow\"><span id=\"MathJax-Span-116\" class=\"mi\">x<\/span><\/span><\/span><span id=\"MathJax-Span-117\" class=\"texatom\"><span id=\"MathJax-Span-118\" class=\"mrow\"><span id=\"MathJax-Span-119\" class=\"mn\"><sup>2<\/sup>\u00d7<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-121\" class=\"msubsup\"><span id=\"MathJax-Span-122\" class=\"texatom\"><span id=\"MathJax-Span-123\" class=\"mrow\"><span id=\"MathJax-Span-124\" class=\"mi\">y<\/span><\/span><\/span><sup><span id=\"MathJax-Span-125\" class=\"texatom\"><span id=\"MathJax-Span-126\" class=\"mrow\"><span id=\"MathJax-Span-127\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span>)<br \/>\n= 100 \u00d7 (<span id=\"MathJax-Element-10-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-128\" class=\"math\"><span id=\"MathJax-Span-129\" class=\"mrow\"><span id=\"MathJax-Span-130\" class=\"msubsup\"><span id=\"MathJax-Span-131\" class=\"texatom\"><span id=\"MathJax-Span-132\" class=\"mrow\"><span id=\"MathJax-Span-133\" class=\"mi\">x<\/span><\/span><\/span><sup><span id=\"MathJax-Span-134\" class=\"texatom\"><span id=\"MathJax-Span-135\" class=\"mrow\"><span id=\"MathJax-Span-136\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><span id=\"MathJax-Span-137\" class=\"msubsup\"><span id=\"MathJax-Span-138\" class=\"texatom\"><span id=\"MathJax-Span-139\" class=\"mrow\"><span id=\"MathJax-Span-140\" class=\"mi\">y<\/span><\/span><\/span><sup><span id=\"MathJax-Span-141\" class=\"texatom\"><span id=\"MathJax-Span-142\" class=\"mrow\"><span id=\"MathJax-Span-143\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span>)<br \/>\n= 100<span id=\"MathJax-Element-11-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-144\" class=\"math\"><span id=\"MathJax-Span-145\" class=\"mrow\"><span id=\"MathJax-Span-146\" class=\"msubsup\"><span id=\"MathJax-Span-147\" class=\"texatom\"><span id=\"MathJax-Span-148\" class=\"mrow\"><span id=\"MathJax-Span-149\" class=\"mi\">x<\/span><\/span><\/span><sup><span id=\"MathJax-Span-150\" class=\"texatom\"><span id=\"MathJax-Span-151\" class=\"mrow\"><span id=\"MathJax-Span-152\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><span id=\"MathJax-Span-153\" class=\"msubsup\"><span id=\"MathJax-Span-154\" class=\"texatom\"><span id=\"MathJax-Span-155\" class=\"mrow\"><span id=\"MathJax-Span-156\" class=\"mi\">y<\/span><\/span><\/span><sup><span id=\"MathJax-Span-157\" class=\"texatom\"><span id=\"MathJax-Span-158\" class=\"mrow\"><span id=\"MathJax-Span-159\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iv) (4x, 3x<sup>2<\/sup>)<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">Length = 4x<\/span><br \/>\n<span style=\"color: #000000;\">Breadth =\u00a0<span id=\"MathJax-Element-12-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-160\" class=\"math\"><span id=\"MathJax-Span-161\" class=\"mrow\"><span id=\"MathJax-Span-162\" class=\"mn\">3<\/span><span id=\"MathJax-Span-163\" class=\"msubsup\"><span id=\"MathJax-Span-164\" class=\"texatom\"><span id=\"MathJax-Span-165\" class=\"mrow\"><span id=\"MathJax-Span-166\" class=\"mi\">x<\/span><\/span><\/span><sup><span id=\"MathJax-Span-167\" class=\"texatom\"><span id=\"MathJax-Span-168\" class=\"mrow\"><span id=\"MathJax-Span-169\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span><\/span><br \/>\n<span style=\"color: #000000;\">\u2234 Area of the rectangle = Length <span style=\"font-family: georgia, palatino, serif;\">\u00d7 <\/span>Breadth <\/span><br \/>\n<span style=\"color: #000000;\">= (4x) <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> (<span id=\"MathJax-Element-13-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-170\" class=\"math\"><span id=\"MathJax-Span-171\" class=\"mrow\"><span id=\"MathJax-Span-172\" class=\"mn\">3<\/span><span id=\"MathJax-Span-173\" class=\"msubsup\"><span id=\"MathJax-Span-174\" class=\"texatom\"><span id=\"MathJax-Span-175\" class=\"mrow\"><span id=\"MathJax-Span-176\" class=\"mi\">x<\/span><\/span><\/span><sup><span id=\"MathJax-Span-177\" class=\"texatom\"><span id=\"MathJax-Span-178\" class=\"mrow\"><span id=\"MathJax-Span-179\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span>)<\/span><br \/>\n<span style=\"color: #000000;\">= (4 <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> 3) <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> (<span id=\"MathJax-Element-14-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-180\" class=\"math\"><span id=\"MathJax-Span-181\" class=\"mrow\"><span id=\"MathJax-Span-182\" class=\"mi\">x <span style=\"font-family: georgia, palatino, serif;\">\u00d7 <\/span><\/span><span id=\"MathJax-Span-184\" class=\"msubsup\"><span id=\"MathJax-Span-185\" class=\"texatom\"><span id=\"MathJax-Span-186\" class=\"mrow\"><span id=\"MathJax-Span-187\" class=\"mi\">x<\/span><\/span><\/span><sup><span id=\"MathJax-Span-188\" class=\"texatom\"><span id=\"MathJax-Span-189\" class=\"mrow\"><span id=\"MathJax-Span-190\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span>)<\/span><br \/>\n<span style=\"color: #000000;\">= 12 <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> <span id=\"MathJax-Element-15-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-191\" class=\"math\"><span id=\"MathJax-Span-192\" class=\"mrow\"><span id=\"MathJax-Span-193\" class=\"msubsup\"><span id=\"MathJax-Span-194\" class=\"texatom\"><span id=\"MathJax-Span-195\" class=\"mrow\"><span id=\"MathJax-Span-196\" class=\"mi\">x<\/span><\/span><\/span><sup><span id=\"MathJax-Span-197\" class=\"texatom\"><span id=\"MathJax-Span-198\" class=\"mrow\"><span id=\"MathJax-Span-199\" class=\"mn\">3<\/span><\/span><\/span><\/sup><\/span><\/span><\/span><\/span><\/span><br \/>\n<span style=\"color: #000000;\">= 12x<sup>3<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(v) (3mn, 4np)<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">Length = 3 mn<\/span><br \/>\n<span style=\"color: #000000;\">Breadth = 4np<\/span><br \/>\n<span style=\"color: #000000;\">\u2234 Area of the rectangle = Length <span style=\"font-family: georgia, palatino, serif;\">\u00d7 <\/span>Breadth<\/span><br \/>\n<span style=\"color: #000000;\">= (3mn) <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> (4np)<\/span><br \/>\n<span style=\"color: #000000;\">= (3 <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> 4) <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> (mn) <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> (np)<\/span><br \/>\n<span style=\"color: #000000;\">= 12 <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> m <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> (n <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> n) <span style=\"font-family: georgia, palatino, serif;\">\u00d7<\/span> p<\/span><br \/>\n<span style=\"color: #000000;\">= 12<span id=\"MathJax-Element-16-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-200\" class=\"math\"><span id=\"MathJax-Span-201\" class=\"mrow\"><span id=\"MathJax-Span-202\" class=\"mi\">m<\/span><span id=\"MathJax-Span-203\" class=\"msubsup\"><span id=\"MathJax-Span-204\" class=\"texatom\"><span id=\"MathJax-Span-205\" class=\"mrow\"><span id=\"MathJax-Span-206\" class=\"mi\">n<\/span><\/span><\/span><sup><span id=\"MathJax-Span-207\" class=\"texatom\"><span id=\"MathJax-Span-208\" class=\"mrow\"><span id=\"MathJax-Span-209\" class=\"mn\">2<\/span><\/span><\/span><\/sup><\/span><span id=\"MathJax-Span-210\" class=\"mi\">p<\/span><\/span><\/span><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3.<\/strong>\u00a0<strong>Complete the following table of products:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3287\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-9.2-Q-3.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"673\" height=\"248\" data-wp-editing=\"1\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-9.2-Q-3.png 859w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-9.2-Q-3-300x111.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-9.2-Q-3-768x283.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-9.2-Q-3-480x177.png 480w\" sizes=\"auto, (max-width: 673px) 100vw, 673px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><\/p>\n<table width=\"572\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">First monomial \u2192<\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Second monomial \u2193<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">2x<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-5 y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">3x<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-4xy<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">7x<sup>2<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-9x<sup>2<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">2x<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">4x<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-10xy<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">6x<sup>3<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-8x<sup>2<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">14x<sup>3<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-18x<sup>3<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-5 y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-10xy<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">25 y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-15x<sup>2<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">20xy<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-35x<sup>2<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">45x<sup>2<\/sup>\u00a0y<sup>3<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">3x<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">6x<sup>3<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-15x<sup>2<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">9x<sup>4<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-12x<sup>3<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">21x<sup>4<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-27x<sup>4<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-4xy<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-8x<sup>2<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">20xy<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-12x<sup>3<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">16x<sup>2<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-28x<sup>3<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">36x<sup>3<\/sup>\u00a0y<sup>3<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">7x<sup>2<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">14x<sup>3<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-35x<sup>2<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">21x<sup>4<\/sup>\u00a0y<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-28x<sup>3<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">49x<sup>4<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-63x<sup>4<\/sup>\u00a0y<sup>3<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-9x<sup>2<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-18x<sup>3<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">45x<sup>2<\/sup>\u00a0y<sup>3<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-27x<sup>4<\/sup>\u00a0y<sup>2<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">36x<sup>3<\/sup>\u00a0y<sup>3<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">-63x<sup>4<\/sup>y<sup>3<\/sup><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">81x<sup>4<\/sup>y<sup>4<\/sup><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>4. Obtain the volume of rectangular boxes with the following length, breadth and height, respectively.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)\u00a0<\/strong>5a, 3a<sup>2<\/sup>, 7a<sup>4<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)\u00a0<\/strong>2p, 4q, 8r<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii)\u00a0<\/strong>xy, 2x<sup>2<\/sup>y, 2xy<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv)\u00a0<\/strong>a, 2b, 3c<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211; <\/strong>Volume of a rectangular box = length \u00d7 breadth \u00d7 height<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)\u00a0<\/strong>5a, 3a<sup>2<\/sup>, 7a<sup>4<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">Volume = 5a \u00d7 3a<sup>2<\/sup>\u00a0\u00d7 7a<sup>4<br \/>\n<\/sup>= 5 \u00d7 3 \u00d7 7 \u00d7 a \u00d7 a<sup>2<\/sup>\u00a0\u00d7 a<sup>4<br \/>\n<\/sup>= 105 a<sup>7<\/sup><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)\u00a0<\/strong>2p, 4q, 8r<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Volume = 2p \u00d7 4q \u00d7 8r<br \/>\n= 2 \u00d7 4 \u00d7 8 \u00d7 p \u00d7 q \u00d7 r<br \/>\n= 64 pqr<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii)\u00a0<\/strong>xy, 2x<sup>2<\/sup>y, 2xy<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">Volume = xy \u00d7 2x<sup>2<\/sup>\u00a0y \u00d7 2 xy<sup>2<br \/>\n<\/sup>= 2 \u00d7 2 \u00d7 xy \u00d7 x<sup>2<\/sup>\u00a0y \u00d7 xy<sup>2<\/sup><br \/>\n= 4x<sup>4<\/sup>\u00a0y<sup>4<\/sup><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv)\u00a0<\/strong>a, 2b, 3c<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Volume = a \u00d7 2b \u00d7 3c<br \/>\n= 2 \u00d7 3 \u00d7 a \u00d7 b \u00d7 c<br \/>\n= 6abc<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>5.\u00a0Obtain the product of<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)<\/strong> xy, \u00a0yz, zx<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> a, \u2013 a<sup>2<\/sup>\u00a0, a<sup>3<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong> 2, 4y, 8y<sup>2<\/sup>\u00a0, 16y<sup>3<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv)<\/strong> a, 2b, 3c, 6abc<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(v)<\/strong> m, \u2013 mn, mnp<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i)<\/strong> xy, \u00a0yz, zx<br \/>\n= xy \u00d7 yz \u00d7 zx<br \/>\n= x<sup>2\u00a0<\/sup>y<sup>2\u00a0<\/sup>z<sup>2<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> a, \u2013 a<sup>2<\/sup>\u00a0, a<sup>3<br \/>\n<\/sup>= a \u00d7 \u2013 a<sup>2<\/sup>\u00a0 \u00d7 a<sup>3<br \/>\n<\/sup>= \u2013 a<sup>6<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong> 2, 4y, 8y<sup>2<\/sup>\u00a0, 16y<sup>3<br \/>\n<\/sup>= 2 \u00d7 4y \u00d7 8y<sup>2<\/sup>\u00a0\u00d7 16y<sup>3<br \/>\n<\/sup>= 1024y<sup>6<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv)<\/strong> a, 2b, 3c, 6abc<br \/>\n= a \u00d7 2b \u00d7 3c \u00d7 6abc<br \/>\n= 36a<sup>2\u00a0<\/sup>b<sup>2\u00a0<\/sup>c<sup>2<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v)<\/strong> m, \u2013 mn, mnp<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= m \u00d7 \u2013 mn \u00d7 mnp<br \/>\n= \u2013m<sup>3\u00a0<\/sup>n<sup>2\u00a0<\/sup>p<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 9 (Algebraic Expressions and Identities)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 9 Algebraic Expressions and Identities Exercise 9.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 9: Algebraic Expressions and Identities NCERT Solution Class [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[460,461,445,5],"class_list":["post-3276","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-9-algebraic-expressions-and-identities-in-english","tag-ncert-solutions-class-8-maths-chapter-9-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.2 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 9 (Algebraic Expressions and Identities)\u00a0The NCERT 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