# How do you find the quotient of #(y^2-36)div(y^2+6y)#?

##### 1 Answer

Aug 24, 2017

#### Explanation:

#"factorise numerator/denominator"#

#y^2-36" is a "color(blue)"difference of squares"#

#rArry^2-36=(y-6)(y+6)#

#y^2+6y" has a "color(blue)"common factor of y"" in both terms"#

#rArry^2+6y=y(y+6)#

#rArr((y-6)cancel((y+6)))/(ycancel((y+6)))#

#=(y-6)/y#

#=y/y-6/y#

#=1-6/y#