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\frac{x^{3}-2}{2}
Since \frac{x^{3}}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{3}-2}{2}
Factor out \frac{1}{2}. Polynomial x^{3}-2 is not factored since it does not have any rational roots.