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      Question

      Simplify the following expression:  (8x - 6y - 5z) 

      2
      A 64x² + 36y² + 25z² - 96xy - 60yz + 80zx Correct Answer Incorrect Answer
      B 64x² + 36y² + 25z² + 96xy + 60yz - 80zx Correct Answer Incorrect Answer
      C 64x² + 36y² + 25z² - 96xy + 60yz - 80zx Correct Answer Incorrect Answer
      D 64x² + 36y² + 25z² - 96xy - 60yz - 80zx Correct Answer Incorrect Answer

      Solution

      Using (a + b + c) 2 = a2 + b2 + c2 + 2ab + 2bc + 2ac So, (8x - 6y - 5z) 2 = (8x) 2 + ( - 6y) 2 + ( - 5z) 2 + 2(8x) ( - 6y) + 2( - 6y) ( - 5z) + 2(8x) ( - 5z) = 64x2 + 36y2 + 25z2 - 96xy + 60yz - 80zx

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