une inégalité


  • Math&Maroc

    Bonjour,

    soient a,b,ca,b,c des réels strictement positifs. Montrer que :

    a3bc+3bc+b3ca+3ca+c3ab+3ab3+27a+b+c.\dfrac{a^3bc+3}{bc}+\dfrac{b^3ca+3}{ca}+\dfrac{c^3ab+3}{ab}\geq 3+\dfrac{27}{a+b+c}.

    MA


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