Let 
such that 
. Prove that
![\[\frac{a^2+b^2}{(1-a^2)(1-b^2)} + \frac{b^2+c^2}{(1-b^2)(1-c^2)}+\frac{c^2+a^2}{(1-c^2)(1-a^2)} \geq \frac{9}{2}\]](https://www.math.tolaso.com.gr/wp-content/ql-cache/quicklatex.com-9ea121342e80ec058e48f25e08c0b4f9_l3.png "Rendered by QuickLaTeX.com")
Solution
We have successively:
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Let such that . Prove that
Solution
We have successively:
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