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3\left(4x^{3}y^{2}+x^{2}y^{2}\right)
Factor out 3.
x^{2}y^{2}\left(4x+1\right)
Consider 4x^{3}y^{2}+x^{2}y^{2}. Factor out x^{2}y^{2}.
3x^{2}y^{2}\left(4x+1\right)
Rewrite the complete factored expression.