SOLUTION: Help please!! Add the fractions {{{q/q^2+5q+6}}} and {{{1/q^2 +3q+2}}}

Algebra ->  Graphs -> SOLUTION: Help please!! Add the fractions {{{q/q^2+5q+6}}} and {{{1/q^2 +3q+2}}}      Log On


   

Question 40067: Help please!!
Add the fractions q%2Fq%5E2%2B5q%2B6 and 1%2Fq%5E2+%2B3q%2B2
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Well from
q/(q^2 + 5q + 6) + 1/(q^2 + 3q +2)
we factor the denominators and then look for the lowest common denominator to change each fraction into. Once we do that we can combine the fractions. Hopefuly something will simplify. So here goes...
q/(q^2 + 5q + 6) + 1/(q^2 + 3q +2) =
q/(q+2)(q+3) + 1/(q+2)(q+1) =
q(q+1)/(q+1)(q+2)(q+3) + (q+3)/(q+1)(q+2)(q+3) =
(q^2+q)/(q+1)(q+2)(q+3) + (q+3)/(q+1)(q+2)(q+3) =
(q^2+2q+3)/(q+1)(q+2)(q+3)
Nothing else simplifies...we are done...