$\displaystyle \lim \limits_{t \to 0}(\frac{1}{t}-\frac{1}{t^2+t})$

I wasn't sure what to do with this problem on a test and got it wrong. Substituting 0 directly into the problem didn't seem to help me as it became an indeterminate form. I know the answer is 1 now, but I still can't reverse evaluate the limit. I factored $\displaystyle {t^2+t}$, but I don't know really where to go from there.