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3\left(5x^{3}-8x\right)
Factor out 3.
x\left(5x^{2}-8\right)
Consider 5x^{3}-8x. Factor out x.
3x\left(5x^{2}-8\right)
Rewrite the complete factored expression. Polynomial 5x^{2}-8 is not factored since it does not have any rational roots.