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