Stumped with something simple.

Hey. I know this is probably really simple but I've not had to do something like this before (or at least not for ages) So I could do with pointing it the right direction

Show that

(x^2+1)/(x^2-1)= 1+ 2/(x^2-1)

I know its probably trivial but Im not sure how to go about this? Do I take out a factor of some sort? Or what? I imagine you end up with two fractions, one of which cancels down to just be 1, but I can't see it yet myself.

Any help would be awesome!

-Eremor