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Math Help - Polynomial Division

  1. #1
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    Polynomial Division

    Divide the following:

    [x^3 - a^3]/(x - a)

    Is the numerator the difference of two perfect cubes?

    If so, how do I divide this fraction?

    The different variables confused me.
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  2. #2
    o_O
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    Do you know the difference of cubes: a^{3} - b^{3} = (a-b)(a^2+ab+b^2)

    If you factor the numerator according to the above formula, you should see a common factor that'll cancel.
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  3. #3
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    yes...

    Quote Originally Posted by o_O View Post
    Do you know the difference of cubes: a^{3} - b^{3} = (a-b)(a^2+ab+b^2)

    If you factor the numerator according to the above formula, you should see a common factor that'll cancel.
    Yes, I know the difference of cubes.
    I finally got the answer x^2 + xa + a^2 with no remainder.

    Thanks
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