3 Variable Inequality

For $a,b,c > 0$, prove that:

$! (ab(a+b) + bc(b+c) + ca(c+a))^2 \geq 4abc(a+b+c)(a^2+b^2+c^2)$

Solution: http://dharmath.thehendrata.com/2009/11/30/solution-3-variable-inequality/