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    • Question

      If (x - y) = 5, then find the value of (x³ - y³ -

      15xy).
      A 75 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 125 Correct Answer Incorrect Answer
      D 150 Correct Answer Incorrect Answer

      Solution

      We know that,
      (x - y³ = x³ - y³ - 3xy(x - y)
      Given, (x - y) = 5
      ⇒ (x - y) ³ = 5³ = 125
      ⇒ x³ - y³ - 3xy × 5 = 125
      ⇒ x³ - y³ - 15xy = 125

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