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If a, b, c are the roots of the equation x3 - 3x2 + 3x + 7 = 0, then the value of bc - acbcac - babaab - c|2bc - a2c2b2c22ac - b2a2b2a22ab - c2| is ____________. -

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Question

If a, b, c are the roots of the equation x3 - 3x2 + 3x + 7 = 0, then the value of `abs((2 "bc - a"^2, "c"^2, "b"^2),("c"^2, 2 "ac - b"^2, "a"^2),("b"^2, "a"^2, 2 "ab - c"^2))` is ____________.

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Solution

If a, b, c are the roots of the equation x3 - 3x2 + 3x + 7 = 0, then the value of `abs((2 "bc - a"^2, "c"^2, "b"^2),("c"^2, 2 "ac - b"^2, "a"^2),("b"^2, "a"^2, 2 "ab - c"^2))` is 0.

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