Question

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

Answer 1

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