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16 September, 20:34

Use the formula for the difference of cubes to show that 125 - 27 = 98

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  1. 16 September, 20:40
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    The formula is

    a^3 - b^2 = (a - b) (a^2 + ab + b^2) so plugging in the given values:-

    a = cube root of 125 = 5 and b = cube root of 27 = 3, we get:-

    125 - 27 = (5 - 3) (5^2 + 5*3 + 3^2)

    = 2 * 49

    = 98 answer
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