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14\left(2x^{4}y^{7}+3x^{4}y\right)
Factor out 14.
x^{4}y\left(2y^{6}+3\right)
Consider 2x^{4}y^{7}+3x^{4}y. Factor out x^{4}y.
14x^{4}y\left(2y^{6}+3\right)
Rewrite the complete factored expression. Polynomial 2y^{6}+3 is not factored since it does not have any rational roots.