How do you combine #(3n + 8)/(n^2 + 6n + 8) - ( 4n + 2)/(n^2 + n - 12)#?
First factor the denominators.
The common denominator is
Multiply each quotient by the appropriate factor to display the common denominator
Expand the numerators using the distributive property (or FOIL if you like).
We can combine the quotients because they have a common denominator.
Combine like terms.