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1031

Q: The difference between the squares of two consecutive odd integers is always divisible by ?

  • 1
    8
  • 2
    2
  • 3
    6
  • 4
    4
  • Show Answer
  • Workspace

Answer : 1. "8"
Explanation :

Answer: A) 8 Explanation: Let the two consecutive odd integers be (2x + 1) and (2x + 3)Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4x + 4)(2)= 8 (x + 1), which is always divisible by 8

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