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