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