Again, please try to remember your early lessons. There are reasons why you studied the Order of Operations.
These are NOT the same:
You really should know this, or you really have no business in calculus. Step up your game if you want to do well.
Anyway, try long division.
Now, why would I do such a silly thing?
Unique series don't care how you find them.
If you don't like that, just start in with your derivatives from the first form after long division. That should make your derivatives easier.