Question 36872
m/m^2-m-12  +  5/m+3
=m/[(m-4)(m+3)]  + 5/(m+3)

The LCD = (m-4)(m+3)
Rewrite each fraction with this LCD is its denominator, as follows:
= m/LCD + 5(m-4)/LCD
Now add the fractions to get:
=[m+5(m-4)]/LCD
Simplify as much as possible, as follows:
=[6m-20]/[(m-4)(m+3)]

Your answer is correct.
Cheers,
Stan H.