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