Find a power series representation for the function

$f(x)=\frac{1}{4+x^3}$

${\displaystyle \underset{i=0}{\overset{}{}}}\frac{(-x^3{)}^n}{4^{n+1}}$

${\displaystyle \underset{i=0}{\overset{}{}}}-\frac{x^{3n}}{4^n}$

${\displaystyle \underset{i=0}{\overset{}{}}}-\frac{x^{3n}}{4^{n+1}}$

$\frac{1}{4}{\displaystyle \underset{i=0}{\overset{}{}}}-\frac{x^n}{4^{n+1}}$