Answer
$(x+2)^2(x-2)$
Work Step by Step
The product of a binomial sum and a binomial difference is: $(A+B)(A-B)=A^2-B^2$.
$x^3+2x^2-4x-8=x^2(x+2)-4(x+2)=(x+2)(x^2-2^2)=(x+2)(x+2)(x-2)=(x+2)^2(x-2)$
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