MathCastle
Proof Writing & Problem SolvingSuperchallenge

Proof Writing & Problem Solving · Superchallenge problem

Real numbers aa, bb, cc satisfy a+b+c=0a + b + c = 0 and a2+b2+c2=1a^2 + b^2 + c^2 = 1. What is the largest possible value of (abc)2(abc)^2?

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