Question

[5/(x^2+5x+6)]+(2/x+3)

Answer 1

\[5/(x^{2}+5x+6)+2/(x+3)\]
We need the same denominator to combine:
\[5/((x+3)(x+2))+2/(x+3)*(x+2)/(x+2)\]
\[(5+2x+4)/((x+3)(x+2))=(2x+9)/(x^{2}+5x+6)\]