Answer
$-6x^{3}+6x^{2}-7x$
Work Step by Step
$(-4x^{3}+4x^{2}-4x)-(2x^{3}-2x^{2}+3x)$
$= -4x^{3}+4x^{2}-4x-2x^{3}+2x^{2}-3x$
Combine like terms.
$= -4x^{3}-2x^{3}+4x^{2}+2x^{2}-4x-3x$
$=-6x^{3}+6x^{2}-7x$
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