Question 86 (i)

Using suitable identities, evaluate the following:

$(52)^{2}$

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Solution

We have,
$(52)^{2} = (50 + 2)^{2}$
$= (50)^{2} + (2)^{2} + 2 \times 50 \times 2$ [using the identity, $(a + b)^{2} = a^{2} + b^{2} = a^{2} + b^{2} + 2 a b$ ]
$= 2500 + 4 + 200 = 2704$

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