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    Question

    If [4a - (1/2a)] = 6, then find the value of [16a² +

    (1/4a²) - 8]
    A 30 Correct Answer Incorrect Answer
    B 32 Correct Answer Incorrect Answer
    C 34 Correct Answer Incorrect Answer
    D 36 Correct Answer Incorrect Answer

    Solution

    [4a - (1/2a)] = 6
    On squaring both sides,
    Or, 16a² + (1/4a²) - 2 × 4a × (1/2a) = 36
    Or, 16a² + (1/4a²) - 4 = 36
    So, 16a² + (1/4a²) = 40
    Required value = 40 - 8 = 32

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