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Math Help - Find min

  1. #1
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    Find min

    Find the minimum value of the expression:
    P=(5a+\frac{2}{b+c})^{3}+(5b+\frac{2}{c+a})^{3}+ (5c+\frac{2}{a+b})^{3}
    where a,b,c are positive real numbers satisfying: a^{2}+b^{2}+c^{2}=3
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  2. #2
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    Please post your thoughts or attempted solution.
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