How do you simplify (5)/(z+2) - (3)/(z+3)?

1 Answer
Apr 24, 2017

(2z+9)/[(z+2)(z+3)]

Explanation:

Start by creating common denominators.
So,

5/(z+2)((z+3)/(z+3)) - 3/(z+3)((z+2)/(z+2))

(5z+15)/[(z+2)(z+3)] - (3z+6)/[(z+2)(z+3)]

Subtract the numerators now that we have the same denominator on both fractions.

(2z+9)/[(z+2)(z+3)]