Can anyone prove the binomial expansion: $\displaystyle (x+y)^n$ = $\displaystyle \sum$ $\displaystyle \left(\begin{array}{c}n\\r\end{array}\right)$ $\displaystyle x^r.y^{n-r}$
Last edited by gtaplayr; Jul 31st 2009 at 03:46 PM.
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Originally Posted by gtaplayr Can anyone prove the binomial expansion: $\displaystyle (x+y)^n$ = $\displaystyle \sum$ $\displaystyle \left(\begin{array}{c}n\\r\end{array}\right)$ $\displaystyle x^r.y^{n-r}$ this is certainly something that can be found all over the internet. see here
Originally Posted by gtaplayr Can anyone prove the binomial expansion: $\displaystyle (x+y)^n$ = $\displaystyle \sum$ $\displaystyle \left(\begin{array}{c}n\\r\end{array}\right)$ $\displaystyle x^r.y^{n-r}$ You only need to prove: $\displaystyle (1+x)^n=\sum_{r=0}^n {n \choose r} x^r$ and this can be done reasonably easily by induction. CB
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