(x-2y)(x^2-4y^2)(x+2y)

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(x-2y)(x^2-4y^2)(x+2y)(x-2y)(x^2-4y^2)(x+2y)(x-2y)(x^2-4y^2)(x+2y)=(x-2y)(x+2y)(x^2-4y^2)=(x^2-4y^2)

(x-2y)(x^2-4y^2)(x+2y)
(x-2y)(x^2-4y^2)(x+2y)

(x-2y)(x^2-4y^2)(x+2y)
=(x-2y)(x+2y)(x^2-4y^2)
=(x^2-4y^2)(x^2-4y^2)
=(x^4-2*x^2*4y^2+16y^4)
=x^4-8x^2y^2+16y^4
(a-b)^2=a^2-2ab+b^2