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      Question

      If the sum of three numbers is 18 and the sum of their

      squares is 36, then find the difference between the sum of their cubes and three times of their product.
      A 1449 Correct Answer Incorrect Answer
      B −1944 Correct Answer Incorrect Answer
      C −1494 Correct Answer Incorrect Answer
      D 4149 Correct Answer Incorrect Answer

      Solution

      Now, a 3  +  b 3  +  c 3  −  3 ab c  =  18 ( 36  −  144 )  =  18 ( − 108 )  =  − 1944

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