Question

How do you add `q/(q^2+5q+6)` and `1/(q^2+3q+2)`?

Answer 1

You must put on an equal denominator.

Explanation:

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

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

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

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

Hopefully this helps!