if :$\displaystyle a,b,c> 0 ....a+b+c=1$
Prove that :
$\displaystyle 5(a^{2}+b^{2}+c^{2} )\geq 6(a^{3}+b^{3}+c^{3})+1$
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if :$\displaystyle a,b,c> 0 ....a+b+c=1$
Prove that :
$\displaystyle 5(a^{2}+b^{2}+c^{2} )\geq 6(a^{3}+b^{3}+c^{3})+1$
