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Evaluate the following using suitable identities:- (99)^3 - Mathematics

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Evaluate the following using suitable identities:-

(99)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)

∴ (99)= (100 − 1)3

           = (100)3 − (1)3 − 3(100)(1)(100 − 1)

           = 1000000 − 1 − 300(99)

           = 1000000 − 1 − 29700

           = 970299

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 7.1 | Page 49

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