I know it's easy, but I totally just blanked out on how to divide rational expressions. We're supposed to write them in the form quotient + (remainder/Divisor)

Question

For example, (2h2+h-2)/(h2-1)

Those are h squareds. I know you would take h2 into 2h2 and get 2, but then I'm thinking you'd multiply h2-1 by 2 and subtract that from the numerator, but that doesn't work.

yes. When you multiply h^2 - 1 by 2, you get 2h^2 - 2. Thus, the remainder is h. Thus, the answer is

2 with remainder of h/(h^2-1)