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Simplify the Following Using the Identities: 178 × 178 − 22 × 22 - Mathematics

Answer in Brief

Simplify the following using the identities: 178 × 178 − 22 × 22

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Solution

Let us consider the following expression: \[178 \times 178 - 22 \times 22\]

 Using the identity

\[\left( a + b \right)\left( a - b \right) = a^2 - b^2\] ,we get:

\[178 \times 178 - 22 \times 22 = {178}^2 - {22}^2 = \left( 178 + 22 \right)\left( 178 - 22 \right) = 200 \times 156 = 31200\]

Thus, the answer is 31200.

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.6 | Q 5.2 | Page 43
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