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Thread: Problem Solving

  1. December 3rd 2009, 09:19 PM #1
    Martin Billado
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    Problem Solving

    Please help me out with this question.

    The product of two numbers that differ by one is equal to one,
    Without finding the two numbers, determine the difference of their cubes.

    Thank You in Advance
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  2. December 3rd 2009, 11:51 PM #2
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    Quote Originally Posted by Martin Billado View Post
    Please help me out with this question.

    The product of two numbers that differ by one is equal to one,
    Without finding the two numbers, determine the difference of their cubes.

    Thank You in Advance
    The two numbers differ by 1.

    So if these two numbers are x and y, then x - y = 1.


    The difference of their cubes is given by

    x^3 - y^3 = (x - y)(x^2 + xy + y^2)

    = 1(x^2 + xy + y^2)

    = x^2 + xy + y^2.
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