Laurent Series for $f(z)=\frac{1}{z^5(1+z)}$

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I know that the series for $\frac{1}{1+z}$ are $\sum_{n=0}^{\infty} (-1)^nz^n$, so would the Laurent series be $\sum_{n=0}^{\infty} \frac{(-1)^n}{z^5}z^n$?

Any help is appreciated!