{"id":95407,"date":"2019-10-04T11:06:21","date_gmt":"2019-10-04T05:36:21","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=95407"},"modified":"2021-09-18T15:16:26","modified_gmt":"2021-09-18T09:46:26","slug":"ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities-ex-9-5","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities-ex-9-5\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5"},"content":{"rendered":"<h2>NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5<\/h2>\n<ul>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 8 Maths Algebraic Expressions and Identities Exercise 9.1<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities-ex-9-2\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 8 Maths Algebraic Expressions and Identities Exercise 9.2<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities-ex-9-3\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 8 Maths Algebraic Expressions and Identities Exercise 9.3<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities-ex-9-4\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 8 Maths Algebraic Expressions and Identities Exercise 9.4<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities-ex-9-5\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 8 Maths Algebraic Expressions and Identities Exercise 9.5<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/algebraic-expressions-and-identities-ncert-extra-questions-for-class-8-maths\/\">Algebraic Expressions and Identities Class 8 Extra Questions<\/a><\/li>\n<\/ul>\n<p><strong>NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Exercise 9.5<\/strong><\/p>\n<p>Ex 9.5 Class 8 Maths Question 1.<br \/>\nUse a suitable identity to get each of the following products:<br \/>\n(i) (x + 3) (x + 3)<br \/>\n(ii) (2y + 5) (2y + 5)<br \/>\n(iii) (2a &#8211; 7) (2a &#8211; 7)<br \/>\n(iv) (3a &#8211; \\(\\frac { 1 }{ 2 }\\)) (3a &#8211; \\(\\frac { 1 }{ 2 }\\))<br \/>\n(v) (1.1m &#8211; 0.4) (1.1m + 0.4)<br \/>\n(vi) (a<sup>2<\/sup> + b<sup>2<\/sup>) (-a<sup>2<\/sup> + b<sup>2<\/sup>)<br \/>\n(vii) (6x &#8211; 7) (6x + 7)<br \/>\n(viii) (-a + c) (-a + c)<br \/>\n(ix) (\\(\\frac { x }{ 2 }\\) + \\(\\frac { 3y }{ 4 }\\)) (\\(\\frac { x }{ 2 }\\) + \\(\\frac { 3y }{ 4 }\\))<br \/>\n(x) (7a &#8211; 9b) (7a &#8211; 9b)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106396\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.png?resize=369%2C352&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q1\" width=\"369\" height=\"352\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.png?w=369&amp;ssl=1 369w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.png?resize=300%2C286&amp;ssl=1 300w\" sizes=\"(max-width: 369px) 100vw, 369px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106392\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.1.png?resize=378%2C488&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q1.1\" width=\"378\" height=\"488\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.1.png?w=378&amp;ssl=1 378w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.1.png?resize=232%2C300&amp;ssl=1 232w\" sizes=\"(max-width: 378px) 100vw, 378px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106393\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.2.png?resize=383%2C199&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q1.2\" width=\"383\" height=\"199\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.2.png?w=383&amp;ssl=1 383w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.2.png?resize=300%2C156&amp;ssl=1 300w\" sizes=\"(max-width: 383px) 100vw, 383px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106395\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.3.png?resize=369%2C327&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q1.3\" width=\"369\" height=\"327\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.3.png?w=369&amp;ssl=1 369w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q1.3.png?resize=300%2C266&amp;ssl=1 300w\" sizes=\"(max-width: 369px) 100vw, 369px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 9.5 Class 8 Maths\u00a0Question 2.<br \/>\nUse the identity (x + a)(x + b) = x<sup>2<\/sup> + (a + b)x + ab to find the following products.<br \/>\n(i) (x + 3) (x + 7)<br \/>\n(ii) (4x + 5)(4x + 1)<br \/>\n(iii) (4x &#8211; 5) (4x &#8211; 1)<br \/>\n(iv) (4x + 5) (4x &#8211; 1)<br \/>\n(v) (2x + 5y) (2x + 3y)<br \/>\n(vi) (2a<sup>2<\/sup> + 9) (2a<sup>2<\/sup> + 5)<br \/>\n(vii) (xyz &#8211; 4) (xyz &#8211; 2)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106397\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q2.png?resize=376%2C591&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q2\" width=\"376\" height=\"591\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q2.png?w=376&amp;ssl=1 376w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q2.png?resize=191%2C300&amp;ssl=1 191w\" sizes=\"(max-width: 376px) 100vw, 376px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 9.5 Class 8 Maths\u00a0Question 3.<br \/>\nFind the following squares by using the identities.<br \/>\n(i) (b &#8211; 7)<sup>2<\/sup><br \/>\n(ii) (xy + 3z)<sup>2<\/sup><br \/>\n(iii) (6x<sup>2<\/sup> &#8211; 5y)<sup>2<\/sup><br \/>\n(iv) (\\(\\frac { 2 }{ 3 }\\) m + \\(\\frac { 3 }{ 2 }\\) n)<sup>2<\/sup><br \/>\n(v) (0.4p &#8211; 0.5q)<sup>2<\/sup><br \/>\n(vi) (2xy + 5y)<sup>2<\/sup><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106399\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q3.png?resize=373%2C277&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q3\" width=\"373\" height=\"277\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q3.png?w=373&amp;ssl=1 373w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q3.png?resize=300%2C223&amp;ssl=1 300w\" sizes=\"(max-width: 373px) 100vw, 373px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106398\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q3.1.png?resize=370%2C409&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q3.1\" width=\"370\" height=\"409\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q3.1.png?w=370&amp;ssl=1 370w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q3.1.png?resize=271%2C300&amp;ssl=1 271w\" sizes=\"(max-width: 370px) 100vw, 370px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 9.5 Class 8 Maths\u00a0Question 4.<br \/>\nSimplify:<br \/>\n(i) (a<sup>2<\/sup> &#8211; b<sup>2<\/sup>)<sup>2<\/sup><br \/>\n(ii) (2x + 5)<sup>2<\/sup> &#8211; (2x &#8211; 5)<sup>2<\/sup><br \/>\n(iii) (7m &#8211; 8n)<sup>2<\/sup> + (7m + 8n)<sup>2<\/sup><br \/>\n(iv) (4m + 5n)<sup>2<\/sup> + (5m + 4n)<sup>2<\/sup><br \/>\n(v) (2.5p &#8211; 1.5q)<sup>2<\/sup> &#8211; (1.5p &#8211; 2.5q)<sup>2<\/sup><br \/>\n(vi) (ab + bc)<sup>2<\/sup> &#8211; 2ab<sup>2<\/sup>c<br \/>\n(vii) (m<sup>2<\/sup> &#8211; n<sup>2<\/sup>m)<sup>2<\/sup> + 2m<sup>3<\/sup>n<sup>2<\/sup><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106402\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.png?resize=366%2C104&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q4\" width=\"366\" height=\"104\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.png?w=366&amp;ssl=1 366w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.png?resize=300%2C85&amp;ssl=1 300w\" sizes=\"(max-width: 366px) 100vw, 366px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106400\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.1.png?resize=425%2C473&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q4.1\" width=\"425\" height=\"473\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.1.png?w=425&amp;ssl=1 425w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.1.png?resize=270%2C300&amp;ssl=1 270w\" sizes=\"(max-width: 425px) 100vw, 425px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106401\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.2.png?resize=377%2C592&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q4.2\" width=\"377\" height=\"592\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.2.png?w=377&amp;ssl=1 377w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q4.2.png?resize=191%2C300&amp;ssl=1 191w\" sizes=\"(max-width: 377px) 100vw, 377px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 9.5 Class 8 Maths\u00a0Question 5.<br \/>\nShow that:<br \/>\n(i) (3x + 7)<sup>2<\/sup> &#8211; 84x = (3x &#8211; 7)<sup>2<\/sup><br \/>\n(ii) (9p &#8211; 5q)<sup>2<\/sup> + 180pq = (9p + 5q)<sup>2<\/sup><br \/>\n(iii) (\\(\\frac { 4 }{ 3 }\\) m &#8211; \\(\\frac { 3 }{ 4 }\\) n)<sup>2<\/sup> + 2mn = \\(\\frac { 16 }{ 9 }\\) m<sup>2<\/sup> + \\(\\frac { 9 }{ 16 }\\) n<sup>2<\/sup><br \/>\n(iv) (4pq + 3q)<sup>2<\/sup> &#8211; (4pq &#8211; 3q)<sup>2<\/sup> = 48pq<sup>2<\/sup><br \/>\n(v) (a &#8211; b)(a + b) + (b &#8211; c) (b + c) + (c &#8211; a) (c + a) = 0<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106405\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.png?resize=305%2C502&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q5\" width=\"305\" height=\"502\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.png?w=305&amp;ssl=1 305w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.png?resize=182%2C300&amp;ssl=1 182w\" sizes=\"(max-width: 305px) 100vw, 305px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106403\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.1.png?resize=378%2C487&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q5.1\" width=\"378\" height=\"487\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.1.png?w=378&amp;ssl=1 378w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.1.png?resize=233%2C300&amp;ssl=1 233w\" sizes=\"(max-width: 378px) 100vw, 378px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106404\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.2.png?resize=364%2C381&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q5.2\" width=\"364\" height=\"381\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.2.png?w=364&amp;ssl=1 364w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q5.2.png?resize=287%2C300&amp;ssl=1 287w\" sizes=\"(max-width: 364px) 100vw, 364px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 9.5 Class 8 Maths\u00a0Question 6.<br \/>\nUsing identities, evaluate:<br \/>\n(i) 71<sup>2<\/sup><br \/>\n(ii) 99<sup>2<\/sup><br \/>\n(iii) 102<sup>2<\/sup><br \/>\n(iv) 998<sup>2<\/sup><br \/>\n(v) 5.2<sup>2<\/sup><br \/>\n(vi) 297 \u00d7 303<br \/>\n(vii) 78 \u00d7 82<br \/>\n(viii) 8.9<sup>2<\/sup><br \/>\n(ix) 1.05 \u00d7 9.5<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106408\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.png?resize=377%2C611&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q6\" width=\"377\" height=\"611\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.png?w=377&amp;ssl=1 377w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.png?resize=185%2C300&amp;ssl=1 185w\" sizes=\"(max-width: 377px) 100vw, 377px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106406\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.1.png?resize=381%2C415&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q6.1\" width=\"381\" height=\"415\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.1.png?w=381&amp;ssl=1 381w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.1.png?resize=275%2C300&amp;ssl=1 275w\" sizes=\"(max-width: 381px) 100vw, 381px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106407\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.2.png?resize=380%2C337&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Q6.2\" width=\"380\" height=\"337\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.2.png?w=380&amp;ssl=1 380w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-Q6.2.png?resize=300%2C266&amp;ssl=1 300w\" sizes=\"(max-width: 380px) 100vw, 380px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 9.5 Class 8 Maths\u00a0Question 7.<br \/>\nUsing a<sup>2<\/sup> &#8211; b<sup>2<\/sup> = (a + b) (a &#8211; b), find<br \/>\n(i) 51<sup>2<\/sup> &#8211; 49<sup>2<\/sup><br \/>\n(ii) (1.02)<sup>2<\/sup> &#8211; (0.98)<sup>2<\/sup><br \/>\n(iii) 153<sup>2<\/sup> &#8211; 147<sup>2<\/sup><br \/>\n(iv) 12.1<sup>2<\/sup> &#8211; 7.9<sup>2<\/sup><br \/>\nSolution:<br \/>\n(i) 51<sup>2<\/sup> &#8211; 49<sup>2<\/sup> = (51 + 49) (51 &#8211; 49) = 100 \u00d7 2 = 200<br \/>\n(ii) (1.02)<sup>2<\/sup> &#8211; (0.98)<sup>2<\/sup> = (1.02 + 0.98) (1.02 &#8211; 0.98) = 2.00 \u00d7 0.04 = 0.08<br \/>\n(iii) 153<sup>2<\/sup> &#8211; 147<sup>2<\/sup> = (153 + 147) (153 &#8211; 147) = 300 \u00d7 6 = 1800<br \/>\n(iv) 12.1<sup>2<\/sup> &#8211; 7.9<sup>2<\/sup> = (12.1 + 7.9) (12.1 &#8211; 7.9) = 20.0 \u00d7 4.2 = 84<\/p>\n<p>Ex 9.5 Class 8 Maths\u00a0Question 8.<br \/>\nUsing (x + a) (x + b) = x<sup>2<\/sup> + (a + b)x + ab, find<br \/>\n(i) 103 \u00d7 104<br \/>\n(ii) 5.1 \u00d7 5.2<br \/>\n(iii) 103 \u00d7 98<br \/>\n(iv) 9.7 \u00d7 9.8<br \/>\nSolution:<br \/>\n(i) 103 \u00d7 104 = (100 + 3)(100 + 4) = (100)<sup>2<\/sup> + (3 + 4) (100) + 3 \u00d7 4 = 10000 + 700 + 12 = 10712<br \/>\n(ii) 5.1 \u00d7 5.2 = (5 + 0.1) (5 + 0.2) = (5)<sup>2<\/sup> + (0.1 + 0.2) (5) + 0.1 \u00d7 0.2 = 25 + 1.5 + 0.02 = 26.5 + 0.02 = 26.52<br \/>\n(iii) 103 \u00d7 98 = (100 + 3) (100 &#8211; 2) = (100)<sup>2<\/sup> + (3 &#8211; 2) (100) + 3 \u00d7 (-2) = 10000 + 100 &#8211; 6 = 10100 &#8211; 6 = 10094<br \/>\n(iv) 9.7 \u00d7 9.8 = (10 &#8211; 0.3) (10 &#8211; 0.2) = (10)<sup>2<\/sup> &#8211; (0.3 + 0.2) (10) + (-0.3) (-0.2) = 100 &#8211; 5 + 0.06 = 95 + 0.06 = 95.06<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106410\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-1.png?resize=599%2C673&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-1\" width=\"599\" height=\"673\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-1.png?w=599&amp;ssl=1 599w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-1.png?resize=267%2C300&amp;ssl=1 267w\" sizes=\"(max-width: 599px) 100vw, 599px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106409\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-1.1.png?resize=619%2C731&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-1.1\" width=\"619\" height=\"731\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-1.1.png?w=619&amp;ssl=1 619w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-1.1.png?resize=254%2C300&amp;ssl=1 254w\" sizes=\"(max-width: 619px) 100vw, 619px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106411\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-2.png?resize=634%2C715&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-2\" width=\"634\" height=\"715\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-2.png?w=634&amp;ssl=1 634w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-2.png?resize=266%2C300&amp;ssl=1 266w\" sizes=\"(max-width: 634px) 100vw, 634px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106412\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-3.png?resize=585%2C643&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-3\" width=\"585\" height=\"643\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-3.png?w=585&amp;ssl=1 585w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-3.png?resize=273%2C300&amp;ssl=1 273w\" sizes=\"(max-width: 585px) 100vw, 585px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106414\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-4.png?resize=596%2C696&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-4\" width=\"596\" height=\"696\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-4.png?w=596&amp;ssl=1 596w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-4.png?resize=257%2C300&amp;ssl=1 257w\" sizes=\"(max-width: 596px) 100vw, 596px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106413\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-4.1.png?resize=619%2C229&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-4.1\" width=\"619\" height=\"229\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-4.1.png?w=619&amp;ssl=1 619w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-4.1.png?resize=300%2C111&amp;ssl=1 300w\" sizes=\"(max-width: 619px) 100vw, 619px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106416\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-5.png?resize=618%2C652&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-5\" width=\"618\" height=\"652\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-5.png?w=618&amp;ssl=1 618w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-5.png?resize=284%2C300&amp;ssl=1 284w\" sizes=\"(max-width: 618px) 100vw, 618px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106415\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-5.1.png?resize=674%2C395&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-5.1\" width=\"674\" height=\"395\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-5.1.png?w=674&amp;ssl=1 674w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-5.1.png?resize=300%2C176&amp;ssl=1 300w\" sizes=\"(max-width: 674px) 100vw, 674px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106418\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-6.png?resize=355%2C610&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-6\" width=\"355\" height=\"610\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-6.png?w=355&amp;ssl=1 355w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-6.png?resize=175%2C300&amp;ssl=1 175w\" sizes=\"(max-width: 355px) 100vw, 355px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106417\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-6.1.png?resize=494%2C411&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-6.1\" width=\"494\" height=\"411\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-6.1.png?w=494&amp;ssl=1 494w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-6.1.png?resize=300%2C250&amp;ssl=1 300w\" sizes=\"(max-width: 494px) 100vw, 494px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106419\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-7.png?resize=404%2C481&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-7\" width=\"404\" height=\"481\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-7.png?w=404&amp;ssl=1 404w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-7.png?resize=252%2C300&amp;ssl=1 252w\" sizes=\"(max-width: 404px) 100vw, 404px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106420\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-8.png?resize=474%2C489&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 q-8\" width=\"474\" height=\"489\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-8.png?w=474&amp;ssl=1 474w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-9-Algebraic-Expressions-and-Identities-Ex-9.5-q-8.png?resize=291%2C300&amp;ssl=1 291w\" sizes=\"(max-width: 474px) 100vw, 474px\" data-recalc-dims=\"1\" \/><\/p>\n<h4>More CBSE Class 8 Study Material<\/h4>\n<ul>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths\/\">NCERT Solutions for Class 8 Maths<\/a><\/li>\n<li><a 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