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Prove that : =|{:(1,1,1),(x,y,z),(x^(2...

Prove that :
`=|{:(1,1,1),(x,y,z),(x^(2),y^(2),z^(2)):}|=(x-y)(y-z)(z-x)`

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To prove that \[ D = \begin{vmatrix} 1 & 1 & 1 \\ x & y & z \\ x^2 & y^2 & z^2 \end{vmatrix} = (x-y)(y-z)(z-x), ...
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