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      Question

      If x = 19 and y = 11, then find the value of

      (y3 - x3 + 3x2y - 3y2x) .
      A 27000 Correct Answer Incorrect Answer
      B 512 Correct Answer Incorrect Answer
      C -512 Correct Answer Incorrect Answer
      D -27000 Correct Answer Incorrect Answer

      Solution

      We know that (a - b) 3 = a3 - b3 - 3a2b + 3b2a

      So, in given case, b = x = 19 and y = a = 11

      So, required value = (11 - 19) 3 = -512

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