SOLUTION: factorize (x+3)(x-2)+ax+3a

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Question 553735: factorize
(x+3)(x-2)+ax+3a

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
(x+3)(x-2) + ax+3a
(x+3)(x-2) +a(x+3)

Notice that there is a COMMON FACTOR of (x+3), which you can take out:
(x+3)[(x-2) + a]

This can also be written in the simpler looking form:
(x+3)(x-2+a)

For a NON-TRADITIONAL explanation of this topic that is probably easier to understand than your own textbook, please see my own website! The easiest way to find it is to use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. At the very bottom of this page there is a link that will take you to the Homepage of my website. I have a complete ALGEBRA curriculum there with LOTS of practice tests, and even a few videos. Best of all, it's all FREE!!!

For this particular topic of FACTORING, when you find the Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Basic Algebra" and look in "Chapter 2" for "Section 2.03 Factoring the Common Factor." There is a complete explanation, together with lots of examples and exercises with ALL the answers given. You will especially like the fact that portions of this lesson are written in Living Color! I even did a video on this topic before I retired. To see the video, look for "Rapalje Videos in Living Color" on my Homepage, and click on "Basic Algebra." As I said, everything on this website is FREE!

If you or anyone needs to contact me, my Email address is rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus