1. The problem statement, all variables and given/known data (4a/a+4)+(a+2/2a) 2. Relevant equations Just combine and then factor out 3. The attempt at a solution It's actually fairly simple, but I'm having difficulty at the end. /multiply each term by opposite denominator 4a(2a)/a+4(2a) + a+2(a+4)/2a(a+4) /combine 4a(2a)+(a+2)(a+4) / a+4(2a) =9a2+6a+8 / a+4(2a) ---- do I try to factor the numerator? =a2+6a+72 / a+4(2a) ---- to this and keep going? There are no real roots. =3a(3a+2)+8 / a+4(2a) ---- or do I factor the 9a2+6a, or possibly the 6a+8 and leave the 9a2? I'd really appreciate some help with this one.