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6\left(3d^{3}-2d\right)
Factor out 6.
d\left(3d^{2}-2\right)
Consider 3d^{3}-2d. Factor out d.
6d\left(3d^{2}-2\right)
Rewrite the complete factored expression. Polynomial 3d^{2}-2 is not factored since it does not have any rational roots.