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21 January, 00:05

Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x - y) 2 = x2 - 2xy + y2 to square your number without using a calculator.

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  1. 21 January, 01:30
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    X = 26; y = 27

    (x - y) 2 = x² - 2xy + y²

    (26 - 27) ² = 26² - 2 (26) (27) + 27²

    (-1) ² = 676 - 1404 + 729

    1 = 1405 - 1404

    1 = 1
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