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An Equality

Given that \(a,b,c>0 \), prove that

\[ \dfrac{a^2}{b^2 + c^2} + \dfrac {b^2}{a^2+ c^2} + \dfrac{c^2}{a^2 + b^2} \geq \dfrac a{b+c} + \dfrac b{c+a} + \dfrac c{a+b} . \]

Note by Khoa Đăng
1 month, 2 weeks ago

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Not sure whether correct a^2>=a......1 b^2+c^2>=b+c...2 Then dividing 1 by 2 and proceeding Aditya Thomas · 3 weeks, 4 days ago

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