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 \[ a(b-c)^3+b(c-a)^3+c(a-b)^3 ?\]
by
Calvin Lin