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

**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}+ 1

^{2}+ 4X} – {(2X)

^{2}+ 1

^{2}– 4X}

= 4X

^{2}+ 4X + 1 – 4X

^{2}– 1 + 4X

= 8X

Hence, the answer is 8.