SOLUTION: We are going over Rational expressions. My problem is I don't know what to do after I get the answer for the denominator. But unfortunately for this one I can't even get that far!

Question 869708: We are going over Rational expressions. My problem is I don't know what to do after I get the answer for the denominator. But unfortunately for this one I can't even get that far! Can you help me with steps to get through this problem?
5/x^2+5x+6 + 2/x+3
So far I have 5/(x+3)(x+2) + 2(x+2)/x+3(x+2)
Found 4 solutions by Alan3354, mananth, jim_thompson5910, josgarithmetic:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
5/x^2+5x+6 + 2/x+3
So far I have 5/(x+3)(x+2) + 2(x+2)/x+3(x+2)
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Since the DEN's are the same, you can add the NUMs.
5/(x+3)(x+2) + 2(x+2)/x+3(x+2)
= 5/(x+3)(x+2) + (2x+4)/(x+3)(x+2)
= (2x+9)/(x+3)(x+2)

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
5/x^2+5x+6 + 2/x+3

5/((x+3)(x+2)) +2/(x+3)

(5+2(x+2))/((x+3)(x+2))
(2x+7)/(x+3)(x+2))

(2x+7)/(x+3)(x+2))

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
So far, so good. Let's finish up.

We are able to add the fractions only if the denominators are the same (they are, so we can go ahead)

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Not well written. Grouping symbols MUST BE used in the proper positions:

Your step appears to indicate three separate summands:
5/(x^2+5x+6) + 2/x+3

and as rendered appear this way:

Maybe that is not what you really have. Maybe you really have this:
. I will work through part of this one.
-
, you see LCD is (x+2)(x+3). Need to multiply the second summand by 1.

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and you can finish that by simplifying the denominator, which you already know from the start, the LCD.
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