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Math Help - How does this result come about?

  1. #1
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    How does this result come about?

    P(a)−P(b) = a^n(a^n-b^n)+a^n - 1(a^n-1−b^n−1)+...+a^1(a−b) = (a−b)x
    How does the RHS come about? I'm not quite sure. I'm looking at a line of proof and can't quite make the connection.
    this is given that P(a)=b P(b)=c P(c)=a.
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  2. #2
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    Re: How does this result come about?

    Quote Originally Posted by Idiotinabox View Post
    P(a)−P(b) = a^n(a^n-b^n)+a^n - 1(a^n-1−b^n−1)+...+a^1(a−b) = (a−b)x
    How does the RHS come about? I'm not quite sure. I'm looking at a line of proof and can't quite make the connection.
    this is given that P(a)=b P(b)=c P(c)=a.
    I don't see how it possibly could, because the RHS has an x term and the other side does not.

    Why not post the full proof so that we understand the context of the question?
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  3. #3
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    Re: How does this result come about?

    http://www.math.ucsb.edu/mathclub/Pr...6Prob3FSol.pdf is the solution. Second line of proof. Sorry, forgot to include that x belongs to set of integer numbers
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