I am taking an intermediate algebra course and am stumped on one topic. We are doing complex polynomial fractions and I can figure out how they are simplifying one type of problem. Here is an example:

7 14

___ - ____ 7x^{2}-14x 7x

x x^{2 }___________________ ____________

_________________________ I keep coming up with but am told the answer is simplified to

4 16 4x^{2}-16 4(x+2)

____ - ____

x x^{3}

Please help me understand how this is being simplified. THANKS!!!!