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8\left(x^{8}-3x^{7}+3x^{6}\right)
Factor out 8.
x^{6}\left(x^{2}-3x+3\right)
Consider x^{8}-3x^{7}+3x^{6}. Factor out x^{6}.
8x^{6}\left(x^{2}-3x+3\right)
Rewrite the complete factored expression. Polynomial x^{2}-3x+3 is not factored since it does not have any rational roots.