Question

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

Answer 1

`(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)]`