# Thread: Simple math Proof (I think)

1. ## Simple math Proof (I think)

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

2. 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
$(1-x)^n(1+\frac{1}{x})^n = (1-x)^n(\frac{x+1}{x})^n=\{(1-x) (\frac{x+1}{x})\}^n=(\frac {(1-x^2)}{x})^n=(\frac {1}{x}-x)^n$