find a power series representation of f(x)

i am to use provided to find a power series representation for

so i want to foil the binomial, move the cube, and convert the statement into the form of

considering only

i get

so

now i'm at a loss has to how to get it into the form

integrating/differentiating term-by-term doesn't seem to be helpful as each makes the situation far more complicated.

Re: find a power series representation of f(x)

actually i should be able to take the derivative of

so

then

and

and then just multiply in the cube, no?

Re: find a power series representation of f(x)

Quote:

Originally Posted by

**bkbowser** actually i should be able to take the derivative of

so

then

and

and then just multiply in the cube, no?

sorry there's a few simple things wrong here.

should be;

then after reintroducing the cube;