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

1 Answer
Aug 6, 2016

=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)