SOLUTION: I have struggle to solve this problem: (x^2 - 4)^2 - (x - 2)^2 The book's answer is (x-2)^2(x+1)(x+3). My question is... how do they get the answer? I can't figure out the step

Question 322003: I have struggle to solve this problem:
(x^2 - 4)^2 - (x - 2)^2
The book's answer is (x-2)^2(x+1)(x+3). My question is... how do they get the answer? I can't figure out the steps for it, but know it uses difference of squares.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(x^2 - 4)^2 - (x - 2)^2
{(x+2)(x-2)}^2- (x-2)^2
..
(x-2)^2{(x+2)^2-1}
(x-2)^2{x^2+4x+4-1}
(x-2)^2{x^2+4x+3)
(x-2)^2{x^2+3x+x+3}
(x-2)^2{x(x+3)+1(x+3)}
(x-2)^2(x+1)(x+3)
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