# How do you simplify #(x^2-3x+2)/(x^2+5x-6)#?

##### 1 Answer

Sep 7, 2016

#### Explanation:

The first step is to factorise both numerator and denominator.

Both are quadratics and can be factorised using the a-c method.

#rArrx^2-3x+2=(x-2)(x-1)# and

#x^2+5x-6=(x+6)(x-1)#

#rArr(x^2-3x+2)/(x^2+5x-6)=((x-2)(cancel(x-1)))/((x+6)(cancel(x-1)))=(x-2)/(x+6)#