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Using properties of determinants prove that:

Question:

Using properties of determinants prove that:

$\left|\begin{array}{ccc}x & y & z \\ x^{2} & y^{2} & z^{2} \\ x^{3} & y^{3} & z^{3}\end{array}\right|=x y z(x-y)(y-z)(z-x)$

Solution:

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