Help needed on laurent series for a complex function

I'm struggling to understand the ways in which one could find the laurent series and there for the residuals for:

Find the Laurent series expansion and residue at
$$\left(\frac{z}{z-1}\right)^2$$
for $z = 1$

Any help that could be provided as to where to start would be appreciated. I attempted differentiating the Laurent series expansion for

$$\frac{1}{z-1}$$

Aswell as trying to multiply out the coefficients of the Laurent expansion for

$$\frac{1}{z-1}$$

But have had no luck whatsoever and just get myself into a state.