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