# How do you simplify #(6y^2 + 18y)/( 2y^3 - 6y^2 - 36y )#?

##### 1 Answer

Oct 7, 2015

#### Explanation:

#(6y^2 + 18y)/(2y^3 - 6y^2 - 36y)#

#(6cancel(y) (y+3))/(2cancel(y) * (y^2 - 3y - 18)) = (3(y+3))/(y^2 - 3y - 18)#

You can write the denominator as

#y^2 - 3y - 18 = y^2 - 6y + 3y - 18#

#y * (y + 3) - 6(y+3) = (y+3) * (y-6)#

The expression will thus be

#(3 * cancel(y+3))/(cancel(y+3) * (y-6)) = 3/(y-6)#