Question 75
Let $a$, $b$, and $c$ be the roots of the equation $2x^{3} - x^{2} + x + 3 = 0$. Find the value of
$$
\frac{a^{3} - b^{3}}{a - b} + \frac{b^{3} - c^{3}}{b - c} + \frac{c^{3} - a^{3}}{c - a}
$$
$$
\frac{a^{3} - b^{3}}{a - b} + \frac{b^{3} - c^{3}}{b - c} + \frac{c^{3} - a^{3}}{c - a}
$$