Which Numbers Always Divides the Difference Between the Squares of two Consecutive Odd Integers?

  • 1 Answer(s)

    Answer: (3) 8
    Explanation:-

    Let be the two consecutive numbers = (2X – 1) and (2X + 1)
    Difference between their square = (2X + 1)2 – (2X – 1)2
    = {(2x)2 + 12 + 4X} – {(2X)2 + 12 – 4X}
    = 4X2 + 4X + 1 – 4X2 – 1 + 4X
    = 8X

    Hence, the answer is 8.

    Anurag Mishra Professor Answered on 3rd June 2015.
    Add Comment
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.