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) = x^{2} + (a + b)x + ab, where

*x* = 100, *a* = 3, and *b* = 7

= 10000 + 1000 + 21

= 11021

Concept: Algebraic Identities

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