SOLUTION: Factor each expression a^2(b-c)-16b^2(b-c)

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Question 116474: Factor each expression a^2(b-c)-16b^2(b-c)

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First, take out the common factor, which is (b-c)

a%5E2%28b-c%29-16b%5E2%28b-c%29
%28b-c%29%28a%5E2+-16b%5E2%29

Notice that you have a difference of two squares, which also factors:
%28b-c%29%28a-4b%29%28a%2B4b%29.

Please see also my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Then look for "Basic Algebra", "Chapter 2", and there are a number of factoring sections explained in detail with examples, exercises, and answers. See also my MATH IN LIVING COLOR pages for colorized solutions to factoring problems at three levels of math: Basic Algebra Chapter 2, Intermediate Algebra Chapter 2, and College Algebra Chapter 1.

I hope people who need LOTS of help in math will use my own website in addition to algebra.com.

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