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Math Help - Binomial expansion

  1. #1
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    Binomial expansion

    Can anyone prove the binomial expansion:

    (x+y)^n = \sum \left(\begin{array}{c}n\\r\end{array}\right) x^r.y^{n-r}
    Last edited by gtaplayr; July 31st 2009 at 03:46 PM.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by gtaplayr View Post
    Can anyone prove the binomial expansion:

    (x+y)^n = \sum \left(\begin{array}{c}n\\r\end{array}\right) x^r.y^{n-r}
    this is certainly something that can be found all over the internet. see here
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by gtaplayr View Post
    Can anyone prove the binomial expansion:

    (x+y)^n = \sum \left(\begin{array}{c}n\\r\end{array}\right) x^r.y^{n-r}
    You only need to prove:

    (1+x)^n=\sum_{r=0}^n  {n \choose r} x^r

    and this can be done reasonably easily by induction.

    CB
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