My Math Forum Prove the Inequality

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 January 18th, 2012, 12:54 AM #1 Member   Joined: Dec 2011 Posts: 61 Thanks: 1 Prove the Inequality Let x,y and z be positive real numbers. Prove that $(xy+yz+zx)\left(\frac{1}{(x+y)^{2}}+\frac{1}{(y+z) ^{2}}+\frac{1}{(z+x)^{2}}\right)\geq\frac{9}{4}$

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