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

Question 78520: Factor a^2(b-c)-16b^2(b-c)
Answer by mathdoc314(58) (Show Source): You can put this solution on YOUR website!
This expression can be made longer or shorter
The is "like terms" so one thing to do with it is combine them:

Maybe it can be made even more compact if we multiply out the first

and then factor it in terms of b since b appears as a cube, a square, and a linear term.

I don't think that is going to factor any better than we had it to start with
Let's go back to the first idea. We got it to

I just noticed we can factor the first quantity there.
is the same as .
So I think the answer is: .
Now it appears to me to be factored completely into nice linear terms.

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