Help factoring x^2-x+1/x+1 -1/2

[Bigo75]

1. Homework Statement
x^2-x+1/x+1 -1/2


2. Homework Equations
need help factoring this


3. The Attempt at a Solution

A common denominator would be 2(x+1) but that does not change my numerator

 

[rocomath]

what is your GCD?

 

[Bigo75]

I think I got it, common deno is 2(x+1), which gives you 2x^2-3x+1/2(x+1) and that factors into (x-1)(2x-1)/2(x+1) Right?

 

[eys_physics]

Yes it is correct!

 

[HallsofIvy]

Assuming your original expression is (x^2-x+1)/(x+1)- 1/2, then it is correct.
Please use parentheses!