- #1

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All we know the Binomial Theorm which may be stated mathematically as:

[tex]\left(x+y\right)^n=\sum_{k=0}^n{n\choose k}y^k\,x^{n-k}[/tex]

Now suppose that we have the following mathematical expression:

[tex]\sum_{k=0}^{n}{n\choose k}\,(-1)^k[/tex]

if we substitute x=1 and y=-1 in the first equation we get the second. Is that mean the second equation is essentially zero, since [tex](1-1)^n=0[/tex]??

Regards