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      Question

      Find the value of 98 × 102 without doing the full

      multiplication directly.
      A 8,090 Correct Answer Incorrect Answer
      B 7,996 Correct Answer Incorrect Answer
      C 9,996 Correct Answer Incorrect Answer
      D 9,096 Correct Answer Incorrect Answer

      Solution

      Use identity: (a − b)(a + b) = a² − b² Here, 98 = 100 − 2 and 102 = 100 + 2 So, 98 × 102 = (100 − 2)(100 + 2) = 100² − 2² = 10,000 − 4 = 9,996

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