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Let a,b,a,b,a,b, and ccc be the roots of the equation 2x3−x2+x+3=02x^{3}-x^{2}+x+3=02x3−x2+x+3=0. Find the value of the expression below.
a3−b3a−b+b3−c3b−c+c3−a3c−a \large \frac{a^{3}-b^{3}}{a-b}+\frac{b^{3}-c^{3}}{b-c}+\frac{c^{3}-a^{3}}{c-a}a−ba3−b3+b−cb3−c3+c−ac3−a3
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