Simplify:
$y^{3} - 3 y^{2} x = x^{3} - 3 x^{2} y$

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Solution

$y^{3} - 3 y^{2} x = x^{3} - 3 x^{2} y y^{3} - 3 y^{2} x + 3 x^{2} y - x^{3} = 0 (y - x)^{3} = 0 y - x = 0 x = y$

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