partial fraction decomposition special case

Question

I would like to have the following partial fraction decomposed : $$\frac{2r+1}{r^2{(r+1)}^2}$$ Since the denominator does not contain any constant the approch is non-trivial to me. Any help would be highly appreciated.

Thank you in advance.

Answer 1

$$\frac{2r+1}{r^2(r+1)^2}=\frac{(r+1)^2 - r^2}{r^2(r+1)^2} = \frac{1}{r^2} - \frac{1}{(r+1)^2}$$