If the quantity 4^2+ 4^4 + 4^8 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?	Select.
A) 16	B) 14	C) 15	D) 21	E) 22
(a+b)(a-b) = a^2 - b^2   4^2+ 4^4 + 4^6 = 4^2 (1+4^2+4^6)   if the above expression is solved even then every term of the expression will remain a multiple of 4^2 which is out of parenthesis   hence, b must be a multiple of 4^2 i.e. 16   16nswer: option 16
<result>A</result>
If the quantity 4^2+ 4^4 + 4^8 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?