# How do you simplify #(x^2 – x – 6 )/(x^2 – 9x + 18 )#?

##### 1 Answer

Apr 23, 2016

#(x^2-x-6)/(x^2-9x+18)=(x+2)/(x-6)=1+8/(x-6)#

excluding

#### Explanation:

Factor the numerator and denominator. Cancel the common factor

#(x^2-x-6)/(x^2-9x+18)#

#=(color(red)(cancel(color(black)((x-3))))(x+2))/(color(red)(cancel(color(black)((x-3))))(x-6))#

#=(x+2)/(x-6)#

#=(x-6+8)/(x-6)#

#=1+8/(x-6)#

excluding

The value