Expand $(8+4x)^{\frac{1}{3}}(1-x)^{\frac{1}{4}}$ in ascending powers of $x$ up to and including

Question

Expand $(8+4x)^{\frac{1}{3}}(1-x)^{\frac{1}{4}}$ in ascending powers of $x$ up to and including the term in $x^2$ inclusive. Give the range of values of $x$ for which the expansion is valid.

Accepted Answer

2-x/6-47x^2/144+..., valid for |x|<1.

Binomial series expansion

Binomial series expansion

Solution:

Solution locked