this was a very long problem. was confusing to jump back and forth, need help breaking this one down please.

heres the questions and the problem:

use differentiation to find a power series representation for f(x) 1/(1+x)^2

what is the radius of convergence?

b.) use part(a) to find a power series for f(x) = 1/(1+x)^3

c.) use part (b) to find a power series for f(x) = x^2/(1+x)^3