If the quantity 8^2+ 8^4 + 8^6 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?  Choices.
A) 51	B) 64	C) 49	D) 29	E) 37
(a+b)(a-b) = a^2 - b^2   8^2+ 8^4 + 8^6 = 8^2 (1+8^2+8^4)   if the above expression is solved even then every term of the expression will remain a multiple of 8^2 which is out of parenthesis   hence, b must be a multiple of 8^2 i.e. 64   Answer: option 64
<result>B</result>
If the quantity 8^2+ 8^4 + 8^6 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?