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The integers a,a,a, b,b,b, and ccc range from −10-10−10 to 101010 (inclusive), such that a+b+c=0.a+b+c=0.a+b+c=0. What is the largest possible value of a(b−c)3+b(c−a)3+c(a−b)3? a(b-c)^3+b(c-a)^3+c(a-b)^3 ?a(b−c)3+b(c−a)3+c(a−b)3?
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