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\frac{4x^{2}-3x^{6}}{6}
Factor out \frac{1}{6}.
x^{2}\left(4-3x^{4}\right)
Consider 4x^{2}-3x^{6}. Factor out x^{2}.
\frac{x^{2}\left(4-3x^{4}\right)}{6}
Rewrite the complete factored expression. Polynomial 4-3x^{4} is not factored since it does not have any rational roots.