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Without expanding evaluate the determinant : |((ax+a-x)2(ax-a-x)2,1)((ay+a-y)2(ay+a-y)2,1)((az+a-z)2(az+a-z)2,1)|, where a > 0 and x, y, ∈R.

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Let Δ be the given determinant. Applying C1  C1-C,we get

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