Let the two consecutive odd numbers be (2x + 1) and (2x + 3),respectively. (2x+3)2−(2x+1)2 =4x2+9+12x−4x2−1−4x =8−8x=8(1−x)or8K Thus, we can say that the difference between the squares of two consecutive odd integers is always divisible by 8 Trck: 52−32=25−9=16 which is divisible by 8 and 16. 72−52=49−25=24which is divisible by 8 only.