Difference of cubic vieta's

Algebra Level 3

Let $a,b,$ and $c$ be the roots of the equation $2x^{3}-x^{2}+x+3=0$. Find the value of the expression below.

$\large \frac{a^{3}-b^{3}}{a-b}+\frac{b^{3}-c^{3}}{b-c}+\frac{c^{3}-a^{3}}{c-a}$

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