How do you simplify (15y-15)/(3y^2+9y-12)15y153y2+9y12?

1 Answer
Aug 6, 2016

=5/(y+4)=5y+4

Explanation:

(15y-15)/(3y^2+9y-12)15y153y2+9y12
=15(y-1)/(3(y^2+3y-4))=15y13(y2+3y4)
=5(y-1)/(y^2+3y-4=5y1y2+3y4
=5(y-1)/(y^2+4y-y-4)=5y1y2+4yy4
=5(y-1)/(y(y+4)-1(y+4)=5y1y(y+4)1(y+4)
=5(y-1)/((y+4)(y-1))=5y1(y+4)(y1)
=5cancel(y-1)/((y+4)cancel(y-1))
=5/(y+4)