The difference between the squares of two consecutive odd integers is always divisible by:
Select.
A) 3	B) 6	C) 7	D) 8	E) 9
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   ANSWER:8
<result>D</result>
The difference between the squares of two consecutive odd integers is always divisible by: