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Evaluate the following using suitable identities:- (998)^3 - Mathematics

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Evaluate the following using suitable identities:- (998)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)

∴ (998)3 = (1000 − 2)3

             = (1000)3 − (2)3 − 3(1000)(2)(1000 − 2)

             = 1000000000 − 8 − 6000(998)

             = 1000000000 − 8 − 5988000

             = 1000000000 − 5988008

             = 994011992

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 7.3 | Page 49

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