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Prove that |{:(x,x+y,x+y+z),(2x,3x+2y,4x...

Prove that `|{:(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z):}|=x^3`

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To prove that the determinant \[ D = \begin{vmatrix} x & x+y & x+y+z \\ 2x & 3x+2y & 4x+3y+2z \\ 3x & 6x+3y & 10x+6y+3z \end{vmatrix} ...
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