The question I'm working on is;

$\displaystyle d/dx[(2x+3)^3+4x^2-2/x]$

If I'm using the rules properly (a big if), I get it down to;

$\displaystyle 3(2x+3)^2+8x+1/x$

But the answer supplied is;

$\displaystyle 24x^2+80x+54+2x^-2$

Note: I'm not sure how to show it properly, that last part is supposed to be 2x^(-2).

Anyway, obviously, I have to continue simplifying it. I'm not sure which rules to use, and when to stop. Anyone have any tips?