Advanced Algebra Problems With Solutions

How do I simplify this algebra problem?
14c^3d^2 – 21c^2d^3
—————————–
14cd^2
I’ve tried to solve this problem multiple times and I can’t seem to get anywhere. The thing is I’m teaching a refresher algebra course (it’s been 25 yrs since I dabbled in algebra) towards the end of the summer and it seems that I need a little refreshing myself.
After looking over all the course material, this is the only thing that I am struggling with.
Please help me simplify this problem and show the steps you took to get to the solution.
Thanks in advance for your help!
14c^3d^2 – 21c^2d^3
—————————–
…….14cd^2
..7c^2d^2(2c-3d)
=———————-
……..14cd^2
….c(2c-3d)
=—————- answer//
……….2
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