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    Question

    If (x - y) = 3, then find the value of (x³ - y³ -

    9xy).
    A 18 Correct Answer Incorrect Answer
    B 27 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer

    Solution

    We know that,
    (x - y) ³ = x³ - y³ - 3xy(x - y)
    Given, (x - y) = 3
    ⇒ (x - y) ³ = 3³ = 27
    ⇒ x³ - y³ - 3xy × 3 = 27
    ⇒ x³ - y³ - 9xy = 27

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