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Question
Using suitable identities, evaluate the following.
52 × 53
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Solution
We have,
52 × 53 = (50 + 2)(50 + 3)
= (50)2 + (2 + 3)50 + 2 × 3 ...[Using the identity, (x + a)(x + b) = x2 + (a + b)x + ab]
= 2500 + 250 + 6
= 2756
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