Question

    If (x - y) = 1, then find the value of (x³ - y³ -

    3xy).
    A 2 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 3 Correct Answer Incorrect Answer

    Solution

    We know that,
    (x - y) ³ = x³ - y³ - 3xy(x - y)
    Given, (x - y) = 1
    ⇒ (x - y) ³ = 1³ = 1
    ⇒ x³ - y³ - 3xy × 1 = 1
    ⇒ x³ - y³ - 3xy = 1

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