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5\left(4x^{2}y+2x^{2}y^{2}+x\right)
Factor out 5.
x\left(4xy+2xy^{2}+1\right)
Consider 4x^{2}y+2x^{2}y^{2}+x. Factor out x.
5x\left(4xy+2xy^{2}+1\right)
Rewrite the complete factored expression.