Find the Binomial Series

Question

Find the Binomial Series of f(x) = (1-x³)^-2/3

Answer 1

f(x) = ∑{k=0, ∞}C(α, k) (-x³)^k, where α = -2/3, and

 

C(α, k) = α(α-1)(α-2)...(α-k+1)/k!