Question

How do you simplify `(4y + 8 )/(y^2 + 7y + 10)`?

Answer 1

`(4y+8)/(y^2+7y+10) = 4/(y+5)`
`color(white)("XXXX")`provided `y!in{-2,-5}`

Explanation:

`(4y+8)/(y^2+7y+10)`

`color(white)("XXX") = (4(y+2))/((y+5)(y+2))`

`color(white)("XXX") = (4(cancel(y+2)))/((y+5)(cancel(y+2)))`

`color(white)("XXX") = 4/(y+5)`