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Find the values of the following polynomials at a = –2 and b = 3: a3 + 3a2b + 3ab2 + b3 - Mathematics

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Question

Find the values of the following polynomials at a = –2 and b = 3:

a3 + 3a2b + 3ab2 + b3

Sum

Solution

Given, a = –2 and b = 3

So, putting a = –2 and b = 3 in the given expressions, we get 

a3 + 3a2b + 3ab2 + b3 = (–2)3 + 3(–2)2(3) + 3(–2)(3)2 + (3)3

= –8 + 36 – 54 + 27

= 1

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Chapter 10: Algebraic Expressions - Exercise [Page 322]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 10 Algebraic Expressions
Exercise | Q 66. (c) | Page 322
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