Question

How do you write the mixed expression `(h-3)/(h+5)-(h+2)` as a rational expression?

Answer 1

`-(h^2+6h+13)/(h+5)`

Explanation:

`(h-3)/(h+5)-(h+2)`
`=(h-3)/(h+5)-(h+2)*(h+5)/(h+5)`
`=[(h-3)-(h^2+7h+10)]/(h+5)`
`=-(h^2+6h+13)/(h+5)`