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      Question

      Find the simplified value of the given expression:

      1.82 + 2.42 + 1.52 - 1.8 x 2.4 - 2.4 x 1.5 - 1.8 x 1.5
      A 0.75 Correct Answer Incorrect Answer
      B 0.86 Correct Answer Incorrect Answer
      C 0.84 Correct Answer Incorrect Answer
      D 0.63 Correct Answer Incorrect Answer

      Solution

      1.82 + 2.42 + 1.52 - 1.8 X 2.4 - 2.4 X 1.5 - 1.8 X 1.5 a2 + b2 + c2 - ab - bc - ac = (1/2) X [(a - b) 2 + (b - c) 2 + (c - a) 2] So, 1.82 + 2.42 + 1.52 - 1.8 X 2.4 - 2.4 X 1.5 - 1.8 X 1.5 = (1/2) X [(1.8 - 2.4) 2 + (2.4 - 1.5) 2 + (1.5 - 1.8) 2] = (1/2) X (0.36 + 0.81 + 0.09) = (1/2) X (1.26) = 0.63

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