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Math Help - Binomial Theorem

  1. #1
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    Binomial Theorem

    Use a binomial expansion to simplify:
    (nc0)-(nc1)+(nc2)-(nc3)+...+(-1)^n (ncn)

    I did this question and came up with an answer which is (1-0)^n

    is that wrong?

    any help would be greatly appreciated.
    Last edited by Solid8Snake; September 7th 2009 at 03:09 PM.
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  2. #2
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    Quote Originally Posted by Solid8Snake View Post
    Use a binomial expansion to simplify:
    (nc0)-(nc1)+(nc2)-(nc3)+...+(-1)^n (ncn)

    I did this question and came up with an answer which is (1-0)^n
    You have told us before in another posting that you do not understand the \Sigma notation in connection with these problems.
    Frankly, I cannot imagine a more irresponsible example of poor teaching.
    You ought to complain to you educational authority.

    \left( {x + y} \right)^n  = \sum\limits_{k = 0}^n {_n C_k~ x^{n- k} y^{n} } .
    In that equation let x=1~\&~y=-1
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