Make It Unequal

Algebra Level 4

{a+b+c=0abc=2 \left\{ \begin{aligned} a+b+c=0\\ abc=2\\ \end{aligned} \right.

Let a,ba,b and cc be real numbers satisfying the system of equations above. Minimize a3+b3+c3.|a|^{3}+|b|^{3}+|c|^{3}.

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