SOLUTION: Factor the expression. a squared(b-c) - 16b squared(b-c)

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Question 114366: Factor the expression.
a squared(b-c) - 16b squared(b-c)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%28b-c%29-16b%5E2%28b-c%29

First step is to factor out the (b-c),
%28a%5E2-16b%5E2%29%28b-c%29

Now recognize that a%5E2-16b%5E2 is the difference of two squares that factors as %28a-4b%29%28a%2B4b%29.

So the complete factorization is: %28a-4b%29%28a%2B4b%29%28b-c%29.