SOLUTION: Please help. Factor the expression. a^2(b -c) - 16b^2(b-c)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help. Factor the expression. a^2(b -c) - 16b^2(b-c)      Log On


   



Question 77223: Please help.
Factor the expression.
a^2(b -c) - 16b^2(b-c)

Answer by THANApHD(104) About Me  (Show Source):
You can put this solution on YOUR website!
a^2(b -c) - 16b^2(b-c)
= (b-c)[a^2 - 16b^2] ( common factor (b-c))
= (b-c)[a^2 - (4b)^2]
=(b-c)(a-4b)(a+4b) (difference of squares)