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anemone

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Let ##x,\,y>0## and ##x+y \leq 1##.

Prove that ##(1-\frac{1}{x^2})(1-\frac{1}{y^2})\geq 9##.

Prove that ##(1-\frac{1}{x^2})(1-\frac{1}{y^2})\geq 9##.