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Evaluate the following using suitable identities:- (102)^3 - Mathematics

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Evaluate the following using suitable identities:- (102)3 

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Solution

It is known that,

(a + b)3 = a3 + b3 + 3ab(a + b)      and       (a - b)3 = a3 - b3 - 3ab(a - b)

∴ (102)3 = (100 + 2)3

             = (100)3 + (2)3 + 3(100)(2)(100 + 2)

             = 1000000 + 8 + 600(102)

             = 1000000 + 8 + 61200

             = 1061208

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 7.2 | Page 49

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