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2\left(5x^{5}y^{2}+2x^{4}y^{2}+7x^{3}y^{2}\right)
Factor out 2.
x^{3}y^{2}\left(5x^{2}+2x+7\right)
Consider 5x^{5}y^{2}+2x^{4}y^{2}+7x^{3}y^{2}. Factor out x^{3}y^{2}.
2x^{3}y^{2}\left(5x^{2}+2x+7\right)
Rewrite the complete factored expression. Polynomial 5x^{2}+2x+7 is not factored since it does not have any rational roots.