Inequalities 3

Algebra Level 4

If a,b and c are positive real numbers such that a+b+c=1a+b+c=1,then find the minimum value of

(1+a)(1+b)(1+c)(1a)(1b)(1c)\frac{(1+a)(1+b)(1+c)}{(1-a)(1-b)(1-c)}

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