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2\left(5x^{6}y+9xy^{5}\right)
Factor out 2.
xy\left(5x^{5}+9y^{4}\right)
Consider 5x^{6}y+9xy^{5}. Factor out xy.
2xy\left(5x^{5}+9y^{4}\right)
Rewrite the complete factored expression.