um, the quotient rule is overkill. note that you have so the derivative is

...i think you ate part of the question. the question probably said something to do with the second part of my hint for part (b)

Hint: find the power series of first. then differentiate the formula. you should be able to take it from there.b. use part a to find power series 1/(1+x)^3

you can find the power series for by differentiating the formula for the power series of ...which you can find quite easily by considering the power series for ...something you should know by heart

multiply your answer in part (b) byc. then use b to find power series for x^2/(1+x)^3