need help finding tutorial for this problem

Hi guys and gals,

I am reading schaums outline of precalculus 2nd ed. and I am having some issues solving a problem.

Can someone point me to a tutorial that can help me factor equations like this:

(x-2)^3-(x-2)^2

They give you the answer of (x-2)^2(x-3) but I don't understand how they got there.

Thank you.

Re: need help finding tutorial for this problem

Hey thatsmessedup.

This is of the form ab - ac = a(b-c) (the distributive law). In this case a = (x-2)^2, b = (x-2), c = 1 which means it reduces to a(b-c) = (x-2)^2(x-2-1) = (x-2)^2(x-3)

Re: need help finding tutorial for this problem

Quote:

Originally Posted by

**thatsmessedup** Hi guys and gals,

I am reading schaums outline of precalculus 2nd ed. and I am having some issues solving a problem.

Can someone point me to a tutorial that can help me factor equations like this:

(x-2)^3-(x-2)^2

They give you the answer of (x-2)^2(x-3) but I don't understand how they got there.

Thank you.

$\displaystyle \begin{align*}(x-2)^3-(x-2)^2=&(x-2)^2(x-2) - (x-2)^2\times 1\\=&(x-2)^2((x-2)-1)\\=&(x-2)^2(x-3)\end{align*}$

does that help?

Re: need help finding tutorial for this problem

holy cow... thanks for the fast response. I feel like a deer in headlights looking at your math. I will do my best to understand this but I still cant quite grasp it. I am a very visual learner... do you think there are any youtube videos on this?

Re: need help finding tutorial for this problem

Factorising Expressions - YouTube

I watch a bit of this one - it might help you I think.

Re: need help finding tutorial for this problem

Damn... I feel smart now! thank you sooooo much! Just what I needed.