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

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Question 78386: Factor a^2(b-c)-16b^2(b-c)
Answer by dolly(163) About Me  (Show Source):
You can put this solution on YOUR website!
a^2(b-c)-16b^2(b-c)
Here (b-c) is common to both the terms
==> (b-c)(a^2 - 16b^2)
==> (b-c)[(a)^2 - (4b)^2]
==> (b-c)(a+4b)(a-4b) [as a^2 - b^2 = (a+b)(a-b)]
Thus the factorized form is (b-c)(a+4b)(a-4b)