Find the coefficient of $x^{80}$ in the power series expansion $\dfrac{x^2(1+x^2+x^5)}{(1-x)^2(1+x)}$ Find the coefficient of $x^{80}$ in the power series expansion $$\dfrac{x^2(1+x^2+x^5)}{(1-x)^2(1+x)}.$$

I don't know how to find coefficients in power series, solutions are greatly appreciated!

HINT
You can decompose it into partial fractions and get $$x^4+x^3+2x^2+3x+4-\frac{23}{4}(1-x)^{-1}+\frac 14(1+x)^{-1}+\frac 32(1-x)^{-2}$$
Then apply the generalised binomial theorem
