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\frac{3x^{5}-2x^{8}}{40}
Factor out \frac{1}{40}.
x^{5}\left(3-2x^{3}\right)
Consider 3x^{5}-2x^{8}. Factor out x^{5}.
\frac{x^{5}\left(3-2x^{3}\right)}{40}
Rewrite the complete factored expression. Polynomial 3-2x^{3} is not factored since it does not have any rational roots.
\frac{3}{40}x^{5}-\frac{1}{20}x^{8}
Reduce the fraction \frac{2}{40} to lowest terms by extracting and canceling out 2.