I see no connection - 2

Algebra Level 4

Let a,b,ca,b,c be distinct positive integers such that

ab+bc+ca≥299ab+bc+ca\geq 299

Determine the minimum value of

a3+b3+c33−abc\frac{a^3+b^3+c^3}{3} - abc

Christopher Boo by Christopher Boo
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