Can someone help me prove this? It seems easy enough, but for some reason I can't seem to get it. (1-x)^n(1+1/x)^n = (1/x-x)^n
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Originally Posted by noobonastick Can someone help me prove this? It seems easy enough, but for some reason I can't seem to get it. (1-x)^n(1+1/x)^n = (1/x-x)^n $\displaystyle (1-x)^n(1+\frac{1}{x})^n = (1-x)^n(\frac{x+1}{x})^n=\{(1-x) (\frac{x+1}{x})\}^n=(\frac {(1-x^2)}{x})^n=(\frac {1}{x}-x)^n$
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