Probably a geometric series question

[mpx86]

Homework Statement

2^32 – (2 + 1) (2^2 – 1) (2^4+1) (2^8+1) (2^16+1)} is equal to

Homework Equations

The Attempt at a Solution

Solved it by opening the bracket
Answer: 2^31 + 2^24 + 2^ 18 - 2^7 + 2
Option' are
0
1
2
2^16

None of the options matched... Is there a mistake in question statement or my solution of the same?[/B]

 

[mpx86]

Homework Statement

2^32 – (2 + 1) (2^2 – 1) (2^4+1) (2^8+1) (2^16+1)} is equal to

Homework Equations

The Attempt at a Solution

Solved it by opening the bracket
Answer: 2^31 + 2^24 + 2^ 18 - 2^7 + 2
Option' are
0
1
2
2^16

None of the options matched... Is there a mistake in question statement or my solution of the same?[/B]

lol solved... there was an error in question statement:
question was 2^32 – {(2 + 1) (2^2 + 1) (2^4+1) (2^8+1) (2^16+1)}
(1+x) (1+x^2) = (x^4-1)/x-1
using this iteration yields answer as 1
thanks anyways :)