Question

    If y = ∛ 6 – 4, then what is the value of y³ +

    12y² + 48y + 100?
    A 40 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 44 Correct Answer Incorrect Answer
    D 42 Correct Answer Incorrect Answer

    Solution

    y = ∛ 6 – 4 y + 4 = ∛ 6 (y + 4)3 = 6 y³ + 12y² + 48y + 64 = 6 y³ + 12y² + 48y +64 + 36 = 6 + 36 y³ + 12y² + 48y + 100 = 42 The value of y³ + 12y² + 48y +100 is 42.

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