Answer
y(x+y)(3x+y)
Work Step by Step
3$x^{2}$y+4x$y^{2}$+$y^{3}$=y(3$x^{2}$+4xy+$y^{2}$)=
y(3$x^{2}$+xy+3xy+$y^{2}$)=y[x(3x+y)+y(3x+y)]=y(x+y)(3x+y)
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