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Question
Using suitable identity, evaluate the following:
101 × 102
Solution
101 × 102 = (100 + 1)(100 + 2)
= (100)2 + 100(1 + 2) + 1 × 2 ...[Using identity, (x + a)(x + b) = x2 + x(a + b) + ab]
= 10000 + 300 + 2
= 10302
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