Answer
$6x^{3}-9x^{2}+12x$
Work Step by Step
$3x(2x^{2}-3x+4)=(3x)(2x^{2})+(3x)(-3x)+(3x)(4)=6x^{3}+(-9x^{2})+12x=6x^{3}-9x^{2}+12x$
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