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bobPursley2...the other one

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Problem 2:
(x+2)/(2x^2+5x+2) - (x-3)/(2x^2-5x-3)
What I did:
2x^2+5x+2 factors are (2x+1)(x+2)
2x^2-5x-3 factors are (2x+1)(x-3)
(x+2)/(2x+1)(x+2) - (x-3)/(2x+1)x-3)

So the common denominator is
using that combine the fractions.

I already knew the common denominator.I wanted to see if my work was correct.Do I need to simplify more or what?

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