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2\left(8x^{6}+4x^{3}-2x^{3}+3x^{2}\right)
Factor out 2.
x^{2}\left(8x^{4}+4x-2x+3\right)
Consider 8x^{6}+4x^{3}-2x^{3}+3x^{2}. Factor out x^{2}.
2x^{2}\left(8x^{4}+2x+3\right)
Rewrite the complete factored expression. Polynomial 8x^{4}+2x+3 is not factored since it does not have any rational roots.
16x^{6}+4x^{3}+6x^{2}
Combine 8x^{3} and -4x^{3} to get 4x^{3}.