Find the following product by using suitable identity
$(52)^{2}$

2704

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2194

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2344

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2105

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Solution

The correct option is A 2704
$(52)^{2}$
$= (50 + 2)^{2}$
Using, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ we get,
$= (50)^{2} + 2^{2} + 2 (50) (2)$
$= 2500 + 4 + 200$
$= 2704$

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