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(a2−a+1)(b2−b+1)(c2−c+1) (a^2-a+1)(b^2-b+1)(c^2-c+1)(a2−a+1)(b2−b+1)(c2−c+1)
Given that a,ba,ba,b and ccc are non-negative numbers and a+b+c=3a+b+c=3a+b+c=3, find the sum of the minimum and maximum value of the expression above.
Inspiration.
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