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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