Help with this factoring problem

• Jan 8th 2009, 07:33 PM
MathMack
Help with this factoring problem
I'm not sure where to start on this one. It has me tricked. here it is:

(X-2)(X-3) + (X-2)

• Jan 8th 2009, 07:39 PM
mr fantastic
Quote:

Originally Posted by MathMack
I'm not sure where to start on this one. It has me tricked. here it is:

(X-2)(X-3) + (X-2)

(X-2)(X-3) + (X-2) = (X-2)(X-3) + 1 (X-2). Now take out the common factor of (X - 2).
• Jan 8th 2009, 07:44 PM
MathMack
What's the reasoning to adding the 1? Thank you so much for your help
• Jan 8th 2009, 07:52 PM
mr fantastic
Quote:

Originally Posted by MathMack
What's the reasoning to adding the 1? Thank you so much for your help

To help you see how to factorise the expression when you attempt to take out the common factor.
• Jan 9th 2009, 04:48 AM
HallsofIvy
Quote:

Originally Posted by MathMack
What's the reasoning to adding the 1? Thank you so much for your help

He is using the "distributive law": ab+ ac= a(b+ c).

In (X-2)(X-3) + (X-2), a= (X-2), b= (X-3), and c= 1:
(X-2)(X-3)+ (X-2)(1)= (X-2)((X-3)+ (1))= (X-2)(X-2)