Question
Simplify the following using the identities: $\frac{58^2−42^2}{16}$

Answer

Let us consider the following expression: Using the identity $(a + b) (a - b) = a^2- b^2$
We get: $\frac{58^2−42^2}{16}$
$\frac{58^2−42^2}{16}=\frac{(58+42)(58−42)}{16}$
$⇒\frac{58^2−42^2}{16}=\frac{100×16}{16}$
$⇒\frac{58^2−42^2}{16}=100$
Thus, the answer is $100.$

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