L Kira

Cho $x,y,z>0$ : $x+y+z=3$.Chứng minh: 

$$\frac{4x+5}{x^{3}+xy^{2}+3xyz}+\frac{4y+5}{y^{3}+yz^{2}+3xyz}+\frac{4z+5}{z^{3}+zx^{2}+3xyz}\geq\frac{162}{x^{2}+y^{2}+z^{2}+27}$$

Cho $a,b,c>0$.Chứng minh: 

$$\frac{4x+5}{x^{3}+xy^{2}+3xyz}+\frac{4y+5}{y^{3}+yz^{2}+3xyz}+\frac{4z+5}{z^{3}+zx^{2}+3xyz}\geq\frac{162}{x^{2}+y^{2}+z^{2}+27}$$