Respuesta :

factor  the 2 denominators:-

q / (q + 3)(q + 2)  + 1 (q + 1)(q + 2)

the LCD is (q + 1)(q + 2)(q + 3)

so we have

 q(q + 1) + 1(q + 3)
-------------------------
 (q + 1)(q + 2)(q + 3)

        q^2 + 2q + 3
=    -------------------------     Answer
     (q + 1)(q + 2)(q + 3)