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4\left(2x^{3}y+x^{2}y+3xy\right)
Factor out 4.
xy\left(2x^{2}+x+3\right)
Consider 2x^{3}y+x^{2}y+3xy. Factor out xy.
4xy\left(2x^{2}+x+3\right)
Rewrite the complete factored expression. Polynomial 2x^{2}+x+3 is not factored since it does not have any rational roots.