f(x) = (3-2x-x^2) / (x^2-1)

I know the product rule and can get too

(x^2-1)(-2-2x) - (3-2x-x^2)(2x) / (x^2-1)^2

The answer in the back of the book says its 2/(x+1)^2

I feel like a dumbass, math used to be my strongest subject, but now I can't even come close the answer... If someone could give me a STEP by STEP approach I would greatly appreciate it. I think my algebra / simplifying skills are in need of a serious tune up. Thanks again