{"id":28059,"date":"2021-07-02T17:38:07","date_gmt":"2021-07-02T12:08:07","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=28059"},"modified":"2022-03-02T10:30:53","modified_gmt":"2022-03-02T05:00:53","slug":"ncert-solutions-for-class-8-maths-chapter-9-intext-questions","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-9-intext-questions\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities InText Questions"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 9 Algebraic Expressions and Identities InText Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities InText Questions<\/h2>\n

NCERT Intext Question Page No. 139<\/span>
\nQuestion 1.
\nWrite two terms which are like
\n(i) 7xy
\n(ii) 4mn2<\/sup>
\n(iii) 21
\nAnswer:
\n(i) Two terms like 7xy are: -3xy and 8xy.
\n(ii) Two terms like 4mn2<\/sup> are: -6mn2<\/sup> and 2n2<\/sup>m.
\n(iii) Two terms like 21 are: -51 and -7b.<\/p>\n

NCERT Intext Question Page No. 143<\/span>
\nQuestion 1.
\nFind 4x \u00d7 5y \u00d7 7z. First find 4x \u00d7 5y and multiply it by 7z; or first find 5y \u00d7 7z and multiply it by 4x. Is the result the same? What do you observe? Does the order in which you carry out the multiplication matter?
\nAnswer:
\nWe have:
\n4x \u00d7 5y \u00d7 7z = (4x \u00d7 5y) \u00d7 7z
\n= 20xy \u00d7 7z = 140xyz
\nAlso 4x \u00d7 5y \u00d7 7z = 4x \u00d7 (5y \u00d7 7z)
\n= 4x \u00d7 35yz = 140xyz
\nWe observe that
\n(4x \u00d7 5y) \u00d7 7x = 4 \u00d7 (5y \u00d7 7z)
\nThe product of monomials is associative, i.e. the order in which we multiply the monomials does not matter.<\/p>\n

\"NCERT<\/p>\n

NCERT Intext Question Page No. 144<\/span>
\nQuestion 1.
\nFind the product
\n(i) 2x (3x + 5xy)
\n(ii) a2<\/sup> (2ab – 5c)
\nAnswer:
\n(i) 2x(3x + 5xy) = 2x \u00d7 3x + 2x \u00d7 5xy
\n= (2 \u00d7 3) \u00d7 x \u00d7 x + (2 \u00d7 5) \u00d7 x \u00d7 xy
\n= 6 \u00d7 x2<\/sup> + 10 \u00d7 x2<\/sup>y = 6x2<\/sup> + 10x2<\/sup>y<\/p>\n

(ii) a2<\/sup> (2ab – 5c) = a2<\/sup> x 2ab + a2 2<\/sup> – 5c
\n= (1 \u00d7 2) \u00d7 a2<\/sup> \u00d7 ab + [1 \u00d7 (-5)] \u00d7 a2<\/sup> \u00d7 c
\n= 2 \u00d7 a3<\/sup>b + (-5) \u00d7 a2<\/sup>c = 2a3<\/sup>b – 5a2<\/sup>c<\/p>\n

NCERT Intext Question Page No. 145<\/span>
\nQuestion 1.
\nFind the product: (4p2<\/sup> + 5p + 7) \u00d7 3p
\nAnswer:
\n(4p2<\/sup> + 5p + 7) \u00d7 3p
\n= (4p2<\/sup> \u00d7 3p) + (5p + 3p) + (7 \u00d7 3p)
\n= [(4 \u00d7 3) \u00d7 p2<\/sup> \u00d7 p2<\/sup>] + [(5 \u00d7 3) \u00d7 p \u00d7 p] + (7 \u00d7 3) \u00d7 p
\n= 12 \u00d7 p3<\/sup> + 15 \u00d7 p2<\/sup> + 21 2<\/sup> p
\n= 12p3<\/sup> + 15p2<\/sup> + 21p<\/p>\n

NCERT Intext Question Page No. 149<\/span>
\nQuestion 1.
\nVerify Identity (IV), for a = 2, b = 3, x = 5.
\nAnswer:
\nWe have
\n(x + a)(x + b) = x2<\/sup> + (a + b)x + ab
\nPutting a = 2, b = 3 and x = 5 in the identity:
\nLHS= (x + a) (x + b)
\n= (5 + 2) (5 + 3)
\n= 7 \u00d7 8 = 56
\nRHS= x2<\/sup> + (a + b)x + ab
\n= (5)2<\/sup> + (2 + 3) x (2 x 3)
\n= 25 \u00d7 (5) \u00d7 5 + 6
\n= 25 \u00d7 (25) \u00d7 6
\n\u2234 LHS = RHS
\n\u2234 The given identity is true for the given values.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nConsider, the special case of Identity (IV) with a = b, what do you get? Is it related to Identity (I)?
\nAnswer:
\nWhen a = b (each = y)
\n(x + a)(x + b) = x2<\/sup> + (a + b)x + ab becomes
\n(x + y)(x + y) = x2<\/sup> + (y + y)x + (y + y)
\n= x2<\/sup> + (2y)x + y2<\/sup>
\n= x2<\/sup> + 2xy + y2<\/sup>
\n= Yes, it is the same as Identity I<\/p>\n

Question 3.
\nConsider, the special case of Identity (IV) with a = -c and b -c. What do you get? Is it related to Identity (II)?
\nAnswer:
\nIdentity IV is given by
\n(x + a)(x + b) = x2<\/sup> + (a + b)x + ab
\nReplacing \u2018a by (-c) and \u2018b\u2019 by (-c), we have (x – c)(x – c)
\n= x2<\/sup> + [(-c) + (-c)]x + [(-c) \u00d7 (-c)]
\n= x2<\/sup> + [-2c]x + (c2<\/sup>)] = x2<\/sup> – 2cx + c2<\/sup>
\nwhich is same as Identity II.<\/p>\n

Question 4.
\nConsider the special case of Identity (IV) with b = -a. What do you get? Is it related to Identity (III)?
\nAnswer:
\nThe identity IV is given by
\n(x + a)(x + b) = x2<\/sup> + (a + b)x + ab Replacing ‘b\u2019 by (-a), we have:
\n(x + a)(x – a) = x2<\/sup> + [a + (-a)]x + [a \u00d7 (-a)]
\n= x2<\/sup>+ [0]x + [a2<\/sup>]
\n= x2<\/sup>+ 0 + (-a2<\/sup>)
\n= x2<\/sup> -a2<\/sup>
\nwhich is same as the identity III.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities InText Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities InText Questions NCERT Intext Question Page No. 139 Question 1. Write two terms which are like (i) 7xy …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities InText Questions<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities InText Questions - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-9-intext-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities InText Questions - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities InText Questions and Answers are prepared by our highly skilled subject experts. 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