Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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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
: (y-(2/y+1))/(1-(2/y+1))
i'm supposed to simplify that.
Answer by nerdybill(1279) 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:
(y-(2/(y+1)))/(1-(2/(y+1)))
Multiply by (y+1)/(y+1):
(y-(2/(y+1)))(y+1)/(1-(2/(y+1)))(y+1)
(y(y+1)-2)/((y+1)-2)
(y^2+y-2)/(y+1-2)
(y^2+y-2)/(y-1)
factoring the numerator:
(y+2)(y-1)/(y-1)
canceling like-terms:
y+2