# Can you solve it?

Algebra Level 5

$| ab(a^{2} - b^{2}) + bc(b^{2} - c^{2}) + ca(c^{2} - a^{2}) | \leq M(a^{2} + b^{2} + c^{2})^{2}$

Determine the least real number $$M$$ such that the inequality above holds for all real numbers $$a,b$$ and $$c$$.