SOLUTION: This is another one that has me stumped. Please solve: 1+(a/b) / 1-(a^2/b^2) Thanx for your help!

Algebra ->  Expressions-with-variables -> SOLUTION: This is another one that has me stumped. Please solve: 1+(a/b) / 1-(a^2/b^2) Thanx for your help!      Log On


   

Question 124191: This is another one that has me stumped.
Please solve:
1+(a/b) / 1-(a^2/b^2)
Thanx for your help!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2B%28a%2Fb%29+%29%2F%28+1-%28a%5E2%2Fb%5E2%29%29
Remember the factorization of the difference of two squares?

a%5E2-b%5E2=%28a%2Bb%29%28a-b%29

Well, 1=1%5E2 and a%5E2%2Fb%5E2=%28a%2Fb%29%5E2, so the denominator in your problem factors to %281%2Ba%2Fb%29%281-a%2Fb%29

So: