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    • 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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