Evaluate using suitable identities: 92 X 101

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Solution

$92 \times 101 = (100 - 8) \times (100 + 1) = {(100)}^{2} + [(- 8) + 1] (100) + (- 8) (1) = 10000 + (- 7) \times 100 - 8 = 10000 - 700 - 8 = 10000 - 708 = 9292 Using identity : (x + a) (x + b) = x^{2} + (a + b) x + a b$

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