Question

    If (m + n + o) = 16 and (mn + no + om) = 80, then find the

    value of (m² + n² + o²).
    A 60 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D 96 Correct Answer Incorrect Answer

    Solution

    ATQ,


    As we know,


    (m + n + o)² = m² + n² + o² + 2(mn + no + om)


    Or, (16)² = m² + n² + o² + 2 × (80)


    So, m² + n² + o² = 256 – 160 = 96

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