I have to find a power series representation for the following:

1) $\displaystyle 1/(1-x^3)$

2) $\displaystyle 3x^2/(1-x^3)^2$

3) $\displaystyle -3x^2/(1-x^3)$

4) $\displaystyle ln(1-x^3)$

Well, I know that $\displaystyle 1/(1-x) = 1 + x + x^2 + x^3 + x^4 +... = $the sum of $\displaystyle x^n$

Therefore $\displaystyle 1/(1-x^3) = 1 + x^3 + x^6 + x^9 +...= $the sum of x^(3n)

But I don't know how to relate the others to each other they look similar, so any hins would be greatly appreciated. Thanks!