Question

How do you simplify `(y/3 + 1)/(y^2/9 - 1)`?

Answer 1

`3/(y-3)`

Explanation:

`((y/3)+1)/((y^2/9)-1)`

Factoring the denominator as the difference of squares
`color(white)("XXX")=((y/3)+1)/(((y/3)+1)((y/3)-1))`

`color(white)("XXX")=1/((y/3)-1)`

`color(white)("XXX")=3/(y-3)`