# How do you factor #y=x^3-x^2-4x+4 #?

##### 1 Answer

Dec 13, 2015

#y= (x-2)(x+2)(x-1)#

#### Explanation:

Set the equation equal to zero

Group

Factor the greatest common from each group

#=>x^2(x-1) -4(x-1)= y#

Factor out the greatest common factor from the expression

#=>(x^2-4)(x-1) = y#

Factor the difference of square

#=>(x-2)(x+2)(x-1)= y#