# How do you simplify #(x-5)div(x^2-11x+30)/(x^2+7x+12)*(x-6)#?

##### 1 Answer

Jun 28, 2017

This can be simplified to

#### Explanation:

Start by transforming the division into a multiplication.

#=(x - 5) * (x^2 + 7x + 12)/(x^2 - 11x + 30) * (x - 6)#

#= ((x - 5)(x + 4)(x + 3)(x - 6))/((x - 5)(x - 6))#

#= (x + 4)(x + 3)#

It's also worth noting that

Hopefully this helps!