Question

How do you simplify `(15y-15)/(3y^2+9y-12)`?

Answer 1

`=5/(y+4)`

Explanation:

`(15y-15)/(3y^2+9y-12)`
`=15(y-1)/(3(y^2+3y-4))`
`=5(y-1)/(y^2+3y-4`
`=5(y-1)/(y^2+4y-y-4)`
`=5(y-1)/(y(y+4)-1(y+4)`
`=5(y-1)/((y+4)(y-1))`
`=5cancel(y-1)/((y+4)cancel(y-1))`
`=5/(y+4)`