# Problem 13

Algebra Level 5

$\large \left | ab(a^2-b^2) + bc(b^2-c^2)+ca(c^2-a^2) \right |\leq M(a^2+b^2+c^2)^2$

Given that $$a,b,c$$ are reals.Find the minimum value of $$M$$.

Give your answer to two decimal places.

This problem is in this Set.

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