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