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3\left(5m^{3}-2m\right)
Factor out 3.
m\left(5m^{2}-2\right)
Consider 5m^{3}-2m. Factor out m.
3m\left(5m^{2}-2\right)
Rewrite the complete factored expression. Polynomial 5m^{2}-2 is not factored since it does not have any rational roots.