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