If I ask Wolfram the Partial Fraction Decomposition of, for example,
$$\frac{z^3}{(1-z-z^2)(1-z)(1-2z)}$$
The answer is
$$\frac{z}{z^2 + z - 1} + \frac{2}{z^2 + z - 1} - \frac{1}{z - 1} - \frac{1}{2z - 1}$$
My question is what do I have to type to change the output format? I would like to have answers of the form
$$\frac{1}{1-2z} - \frac{2}{1 - z - z^2} - \frac{z}{1 - z - z^2} + \frac{1}{1 -z}$$