Question

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

Answer 1

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.