Prove: \(\dfrac{a+b}{bc+a^2}+\dfrac{b+c}{ca+b^2}+\dfrac{c+a}{ab+c^2}\le\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}\) \(\left(a;b;c>0\right)\)
Prove: \(\dfrac{a+b}{bc+a^2}+\dfrac{b+c}{ca+b^2}+\dfrac{c+a}{ab+c^2}\le\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}\)
\(\left(a;b;c>0\right)\)
