The mathematical expression 2^32 – {(2 + 1) (2^2 + 1) (2^4 + 1) (2^8 + 1) (2^16 + 1)} simplifies to 1 when correctly interpreted. The initial confusion arose from a misstatement of the problem, where the original expression incorrectly used subtraction instead of addition in the second term. The correct application of the formula (1+x)(1+x^2) = (x^4-1)/(x-1) leads to this conclusion.
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mpx86 said: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]