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Using the property of determinants and without expanding, prove that:`|[x, a ,x+a],[ y, b, y+b],[ z, c, z+c]|=0`

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To prove that the determinant \[ D = \begin{vmatrix} x & a & x + a \\ y & b & y + b \\ z & c & z + c \end{vmatrix} ...
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