Evaluate the following by using the suitable identity:
$48^{2}$

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Solution

We know $(a - b)^{2} = a^{2} + b^{2} - 2 a b$

Using the identity, we get

$48^{2}$

$= (50 - 2)^{2}$

$= 50^{2} + 2^{2} - 2 \times 50 \times 2$

$= 2500 + 4 - 200$

$= 2304$

Hence, the answer is $2304$

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