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chứng minh rằng: $xy+yz+zx\geq 2(x+y+z)$


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lovemoon

lovemoon

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cho x,y,z >0 thỏa mãn xyz=x+y+z+2.chứng minh rằng:

a,$xy+yz+zx\geq 2(x+y+z)$
b,$\sqrt{x}+\sqrt{y}+\sqrt{z}\leq \frac{3}{2}\sqrt{xyz}$




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