The minimum value of the quantity \( \frac{\left(a^{2}+3 a+1\right)\left(b^{2}+3 b+1\right)\left....

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The minimum value of the quantity
\( \mathrm{P} \)
\( \frac{\left(a^{2}+3 a+1\right)\left(b^{2}+3 b+1\right)\left(c^{2}+3 c+1\right)}{a b c} \) where \( a, b, c \in \) \( R^{+} \), is
(1) \( \frac{11^{3}}{2^{3}} \)
(2) 125
(3) 25
(4) 27


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