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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 – b= (–2)3 –3(–2)2(3) + 3(–2)(3)2 – (3)3

= – 8 – 36 – 54 – 27

= –125

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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. (d) | Page 322
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