SOLUTION: (y-(2/y+1))/(1-(2/y+1)) i'm supposed to simplify that.

Algebra ->  Exponents -> SOLUTION: (y-(2/y+1))/(1-(2/y+1)) i'm supposed to simplify that.      Log On


   

Question 168391This question is from textbook
: (y-(2/y+1))/(1-(2/y+1))
i'm supposed to simplify that. This question is from textbook

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of:
(y-(2/y+1))/(1-(2/y+1))
.
I think you mean this:
%28y-%282%2F%28y%2B1%29%29%29%2F%281-%282%2F%28y%2B1%29%29%29
Multiply by (y+1)/(y+1):
%28y-%282%2F%28y%2B1%29%29%29%28y%2B1%29%2F%281-%282%2F%28y%2B1%29%29%29%28y%2B1%29+
%28y%28y%2B1%29-2%29%2F%28%28y%2B1%29-2%29+
%28y%5E2%2By-2%29%2F%28y%2B1-2%29+
%28y%5E2%2By-2%29%2F%28y-1%29+
factoring the numerator:
%28y%2B2%29%28y-1%29%2F%28y-1%29+
canceling like-terms:
y%2B2+