I am adding the two rational expressions (x/x+1)+(x/x-1).
This is what I have so far.

First you multiply the numerator and denominator by the denominator of the other fraction.
(x-1) x/(x-1)(x+1)+ x/(x-1) = (x²-x)/(x²+x-x-1)
Then you must combine like terms in the denominator.
(x²-x)/(x²-1)

I'm kind of stuck. Am I supposed to factor the expression?

Question

I am adding the two rational expressions (x/x+1)+(x/x-1). 
This is what I have so far. 

First you multiply the numerator and denominator by the denominator of the other fraction.
(x-1) x/(x-1)(x+1)+ x/(x-1) = (x²-x)/(x²+x-x-1)
Then you must combine like terms in the denominator.
(x²-x)/(x²-1)

I'm kind of stuck. Am I supposed to factor the expression?

anonymous · Answer

$$\frac{ x }{ x+1 }+\frac{ x }{ x-1 }=x \left[ \frac{ 1 }{ x+1 }+\frac{ 1 }{ x-1 } \right]=x \frac{ x-1+x+1 }{  \left( x+1 \right)\left( x-1 \right) }=?$$

anonymous · Answer

Is it supposed to be 2x/(x^2-1) @surjithayer

anonymous · Answer

it is $$\frac{ 2 x^2 }{ x^2-1 }$$