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Math Help - Proof using binomial theorem

  1. #1
    Member zzizi's Avatar
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    Proof using binomial theorem

    Hi

    Please take a look at the following problem:



    Could someone help me out with a hint on how to prove this? I have worked out that this equation would equal 1, when x=1 and y=-2, but I could use some help on how to prove it.

    Thanks in advance
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  2. #2
    MHF Contributor

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    Re: Proof using binomial theorem

    Quote Originally Posted by zzizi View Post

    If n is even then
    1=(1-2)^n=\sum\limits_{k = 0}^n {\left( { - 2} \right)^k }\binom{n}{k}
    Thanks from MarkFL
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  3. #3
    Member zzizi's Avatar
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    Re: Proof using binomial theorem

    You made it too easy

    Thank you for your help Plato!
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  4. #4
    MHF Contributor

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    Re: Proof using binomial theorem

    Yeah, Plato has a way of doing that!
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