Answer
3$x^{2}$y(x-4)(x+6)
Work Step by Step
3$x^{4}$y+6$x^{3}$y-72$x^{2}$y=3$x^{2}$y($x^{2}$+2x-24)=
3$x^{2}$y($x^{2}$+6x-4x-24)=3$x^{2}$y [x(x+6)-4(x+6)]=
3$x^{2}$y(x-4)(x+6)
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