Walkthrough Algebra Factoring

Jul 2010
1
0
i checked a book out of the library entitled coles notes how to get an A in senior algebra, the very first chaptor is on factoring, so i assume that this belongs here, at the end of the chapter are a few questions pertainng to the chapter, one question that i am having trouble with is:

ad-3bd-ab+3b^2+ac-3bc
the anwser is (a-3b)(d-b+c)

i need to know step-by-step how the book arrived at the anwser, so that i can solve similar equations myself.
 

pickslides

MHF Helper
Sep 2008
5,237
1,625
Melbourne
\(\displaystyle ad-3bd-ab+3b^2+ac-3bc\)

\(\displaystyle ad-ab+ac+3b^2-3bd-3bc\)

\(\displaystyle a(d-b+c)-3b(-b+d+c)\)

\(\displaystyle a(d-b+c)-3b(d-b+c)\)

\(\displaystyle (d-b+c)(a-3b)\)