Mister Exam
ab(a+b)+bc(b+c)+ac(a+c)>=6abc inequation
The solution
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a*b*(a + b) + b*c*(b + c) + a*c*(a + c) >= 6*a*b*c
$$a c \left(a + c\right) + \left(a b \left(a + b\right) + b c \left(b + c\right)\right) \geq c 6 a b$$
(a*c)*(a + c) + (a*b)*(a + b) + (b*c)*(b + c) >= c*((6*a)*b)