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Let a, b, c are the solutions of the cub...

Let `a, b, c` are the solutions of the cubic `x^3 - 5x^2 + 3x-1 =0`, then find the value of the determinant `|[a,b,c], [a-b, b-c, c-a], [b+c, c+a, a+b]|`

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" 0.The value of the determinant "|[1,x,x^(2)],[1,b,b^(2)],[1,c,c^(2)]|" is: "