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$\frac{a}{(4-b)(b+2)}+\frac{b}{(4-c)(c+2)}+\frac{c}{(4-a)(a+2)}\leq 3$

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HoangHungChelski

HoangHungChelski

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Cho $a,b,c\geq 0$ thỏa $a^2+b^2+c^2=3$. CMR: 
$$\frac{a}{(4-b)(b+2)}+\frac{b}{(4-c)(c+2)}+\frac{c}{(4-a)(a+2)}\leq 3$$
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Edited by HoangHungChelski, 10-09-2014 - 18:55.

$$\boxed{\text{When is (xy+1)(yz+1)(zx+1) a Square?}}$$                                





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