Evaluate the following product without multiplying directly:- 95 × 96

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#### Solution

95 × 96 = (100 − 5) (100 − 4)

= (100)^{2} + (− 5 − 4) 100 + (− 5) (− 4)

By using the identity (x + a)(x + b) = x^{2} + (a + b)x + ab, where

*x* = 100, *a* = −5, and *b* = −4]

= 10000 − 900 + 20

= 9120

Concept: Algebraic Identities

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