# bobPursley2...the other one

posted by
**Margie**
.

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)

Then:

(x+2)/(2x+1)(x+2) - (x-3)/(2x+1)x-3)

So the common denominator is

(2x+1)(x+2)(x-3)

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?