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14 February, 03:05

How to solve 497*505 using suitable identities

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  1. 14 February, 03:21
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    Step-by-step explanation:

    497 = 500 - 3

    505 = 500 + 5

    (x + a) (x + b) = x² + (a + b) x + ab

    x = 500; a = - 3; b = + 5

    (500 - 3) (500 + 5) = (500) ² + (-3 + 5) 500 + (-3) * 5

    = 250000 + (2) * 500 + (-15)

    =250000 + 1000 - 15

    = 250985
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