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What is the minimum value that can be achieved by the expression

$$x^2+y^2+z^2+2xy+2yz+2zx-3x-3y-3z-4$$

over all triples of real numbers 

$x,y,z?$

 Express your answer as a decimal.

 Oct 24, 2020
 #1
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The minimum value is 12.5.

 Oct 24, 2020

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