# Trivial cubic sum

Algebra Level 2

The integers $$a,$$ $$b,$$ and $$c$$ range from $$-10$$ to $$10$$ (inclusive), such that $$a+b+c=0.$$ What is the largest possible value of $a(b-c)^3+b(c-a)^3+c(a-b)^3 ?$

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