Using identities, find the value of 52 × 52.

2604

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2606

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2704

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2706

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Solution

The correct option is C 2704
52 x 52 = (50 + 2) × (50 + 2)

Now, if we use the identity $(x + y)^{2} = x^{2} + y^{2} + 2 x y$ , we have

$(50 + 2) \times (50 + 2)$
$= (50)^{2} + (2)^{2} + 2 \times 50 \times 2$
$= 2500 + 4 + 200$
$= 2704$

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