Recent content by LanNguyen

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    Graduate Prove Inequality: 3(ab+bc+ac)/abc + 6abc + 15 ≥ 27

    Pls help me to prove the following inequality: \begin{align*} 3 \left(\dfrac{a}{b} + \dfrac{b}{a} + \dfrac{b}{c} + \dfrac{c}{b} + \dfrac{a}{c} + \dfrac{c}{a}\right) &+ \left( 1 + a\right) \left( 1+b \right)\left( 1+c \right)\left(\dfrac{c}{b}+\dfrac{c}{a} \right) \left(...