Posted by **Diana** on Tuesday, June 26, 2007 at 11:09pm.

Factor each expression

a^2(b-c)-16b^2(b-c)

Help show me how

(b-c) appears in both terms and can be factored out, giving you

(b-c)(a^2-16b^2)

Now note that the second term can also be factored since it is the difference of two perfect squares.

(a^2-16b^2) = (a+4b)(a-4b)

Make that substitution and you will have factored the original expression into three terms.

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