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13\left(x^{3}y^{2}+5x^{4}y\right)
Factor out 13.
x^{3}y\left(y+5x\right)
Consider x^{3}y^{2}+5x^{4}y. Factor out x^{3}y.
13x^{3}y\left(5x+y\right)
Rewrite the complete factored expression.