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Evaluate the following product without multiplying directly:- 103 × 107 - Mathematics

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Evaluate the following product without multiplying directly:- 103 × 107

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Solution

103 × 107 = (100 + 3) (100 + 7)

                = (100)2 + (3 + 7) 100 + (3) (7)

By using the identity (x + a)(x + b) = x2 + (a + b)x + ab, where

x = 100, a = 3, and b = 7

= 10000 + 1000 + 21

= 11021

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 2.1 | Page 48

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