Strict Form for Maclaurin Series

Question

I have arrived at a expression $\sum_{n=0}^{\infty}n(n-1)(x^n +x^{n-1})$ in a Maclaurin series question.

Is this a suitable form? If not, how do I adjust what I already have?

Answer 1

$$\sum_{n=0}^{\infty}n(n-1)(x^n +x^{n-1})=\sum_{n=0}^{\infty}n(n-1)(x^n+\frac{x^n}{x})=(1+\frac{1}{x})\sum_{n=0}^{\infty}n(n-1)x^n$$