# How do you use the binomial series to expand f(x)=(8+x)^(1/3) ?

${\left(1 + x\right)}^{\frac{1}{3}} = {\sum}_{n = 0}^{\infty} \left(\begin{matrix}\frac{1}{3} \\ n\end{matrix}\right) {x}^{n}$,
by replacting $x$ by 7+x,
${\left(8 + x\right)}^{\frac{1}{3}} = {\sum}_{n = 0}^{\infty} \left(\begin{matrix}\frac{1}{3} \\ n\end{matrix}\right) {\left(7 + x\right)}^{n}$