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Math Help - Binomial Theorem

  1. #1
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    Binomial Theorem

    Hello,

    I was hoping to get a little help here. I have an assignment due in a couple of weeks, and one question is:

    "Use the Binomial Theorem to determine the coefficient of x^15 in the expansion of (1/3x - 9)^20. Express your answer as a fraction in the lowest terms."

    I am hoping that someone can point me in the general direction of been able to answer this one. I have read over the material, but just can't seem to get it.

    Any help would be great.

    Thanks.

    Sean
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  2. #2
    MHF Contributor arbolis's Avatar
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    I think you mean the Newton's binomial, which states that (x+y)^n=\sum_{k=0}^n {n \choose k} x^{n-k} y^k. Where {n \choose k}=\frac{n!}{k!\,(n-k)!} are the coefficients. Just use this formula...
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