Answer:
[tex]-6x^2+2x-4[/tex]
Step-by-step explanation:
The given expression is;
[tex]\frac{12x^3-4x^2+8x}{-2x}[/tex]
To simplify this expression, we either factor the numerator or share the denominator for each of the numerators.
Let us factor to obtain;
[tex]\frac{-2x(-6x^2+2x-4)}{-2x}[/tex]
We cancel the common factor to obtain;
[tex]-6x^2+2x-4[/tex]