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