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Question is wrong.
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216x3-8y3-27z3-108xyz
(6x)3+(-2y)3+(-3z)3-3*6x*(-2y)*(-3z)
(6x-2y-3z)((6x)2+(-2y)2+(-3z)2-6x*-2y-(-2y)*(-3z)-(-3z)*6x
(6x-2y-3z)(36x2+4y2+9z2+12xy-6yz+18zx)
(6x)3+(-2y)3+(-3z)3-3*6x*(-2y)*(-3z)
(6x-2y-3z)((6x)2+(-2y)2+(-3z)2-6x*-2y-(-2y)*(-3z)-(-3z)*6x
(6x-2y-3z)(36x2+4y2+9z2+12xy-6yz+18zx)
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