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    Question

    If x + y + z = 9 and xy + yz + zx = 26, find the value

    of x┬│ + y┬│ + z┬│ тИТ 3xyz.
    A 52 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 33 Correct Answer Incorrect Answer
    D 27 Correct Answer Incorrect Answer

    Solution

    ATQ, Use identity: x┬│ + y┬│ + z┬│ тИТ 3xyz = (x + y + z)[x┬▓ + y┬▓ + z┬▓ тИТ xy тИТ yz тИТ zx] First, x┬▓ + y┬▓ + z┬▓ = (x + y + z)┬▓ тИТ 2(xy + yz + zx) = 9┬▓ тИТ 2├Ч26 = 81 тИТ 52 = 29 Then: x┬▓ + y┬▓ + z┬▓ тИТ xy тИТ yz тИТ zx = 29 тИТ 26 = 3 So: x┬│ + y┬│ + z┬│ тИТ 3xyz = (x + y + z) ├Ч 3 = 9 ├Ч 3 = 27.

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