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    Question

    If a 2  + b 2  + c 2  =

    240 and ab – bc – ca = 64, then find the value of (a + b – c) 2 .
    A 368 Correct Answer Incorrect Answer
    B 326 Correct Answer Incorrect Answer
    C 334 Correct Answer Incorrect Answer
    D 322 Correct Answer Incorrect Answer

    Solution

    (a + b – c) 2  = a 2  + b 2  + c 2  + 2(ab – bc – ca)
    = 240 + 2 × 64 = 368

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