Question

I need help simplifying this:

[ (a+1/b)^m * (a-1/b)^n ] / [ (b+1/a)^m * (b+1/a)^n ]

Answer 1

If i'm not clear enough, all the 1/a and 1/b should be (1/a) and (1/b)

Answer 2

http://www.wolframalpha.com/input/?i=%28a%2B%281%2Fb%29%29^m+*+%28a-%281%2Fb%29%29^n++%2F++%28b%2B%281%2Fa%29%29^m+*+%28b%2B%281%2Fa%29%29^n

(Alternate form assuming a, b, m and n are positive)

Answer 3

The equation is actually this:

http://www.wolframalpha.com/input/?i=%28%28a%2B%281%2Fb%29%29^m+*+%28a-%281%2Fb%29%29^n%29++%2F++%28%28b%2B%281%2Fa%29%29^m+*+%28b%2B%281%2Fa%29%29^n%29

But, I still don't understand how Wolfram got that answer. It would help if there were steps so I could understand it clearer.

Answer 4

Sure, at least now u know the answer, it will help with the tedious algebra...