# Nice Use of?

Algebra Level 3

$\dfrac{a}{1-a}\cdot\dfrac{b}{1-b}\cdot\dfrac{c}{1-c}$

For $$a,b,c$$ are real numbers such that $$\displaystyle{0<a,b,c<1}$$ with $$a+b+c = 2$$. Find the minimum value of the above expression.

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