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Inequality
USAMO
2015
Problem - 2206
Let $A=(2,0)$, $B=(0,2)$, $C=(-2,0)$, and $D=(0, -2)$. Compute the greatest possible value of the product $PA\cdot PB\cdot PC\cdot PD$, where $P$ is a point on the circle $x^2 + y^2=9$.
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