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

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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) = x2 + (a + b)x + ab, where

x = 100, a = −5, and b = −4]

= 10000 − 900 + 20

= 9120

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 2.2 | Page 48

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