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    Question

    If (a 2  + 1/a 2 ) = 66, then find

    the value of (a 3  – 1/a 3 ).
    A 522 Correct Answer Incorrect Answer
    B 536 Correct Answer Incorrect Answer
    C 478 Correct Answer Incorrect Answer
    D 514 Correct Answer Incorrect Answer

    Solution

    Since, (a 2  + 1/a 2 ) = 66

    So, a + 1/a = √(66 – 2) = 8

    So, (a 3  – 1/a 3 ) = 8 3  + 3 × 8 = 512 + 24 = 536

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