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Math Help - How do I factor (a^7-b^7)?

  1. #1
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    How do I factor (a^7-b^7)?

    It says to use the Factor Theorem, but I can't think of how to approach it using the Factor Theorem.
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  2. #2
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    well if you have a = b then you have found a zero of the function. so a-b must be a factor.
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  3. #3
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    Alright, I knew that already.

    How does the long division turn out?
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  4. #4
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    Nevermind...

    (a-b)(a^6+a^5*b+a^4*b^2+a^3*b^3+a^2*b^4+a*b^5+b^6)
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  5. #5
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    it ugly, synthetic division may be easier.

    but what you have here is know as a binomial number that might make it a it easier.
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