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