Simplify the following expression:
(x+y) (x-y) (x2+y2) (x4+y4) (x8+y8) (x16+y16)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. x32 - y32.
(x + y)(x - y) = x2 - y2
(x2 - y2)(x2 + y2) = x4 - y4
(x4 - y4)(x4 + y4) = x8 - y8
(x8 - y8)(x8 + y8) = x16 - y16
(x16 - y16)(x16 + y16) = x32 - y32