化简(2-1)(2+1)(2^2+1)(2^4+1)······(2^16+1)+1=?

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化简(2-1)(2+1)(2^2+1)(2^4+1)······(2^16+1)+1=?
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化简(2-1)(2+1)(2^2+1)(2^4+1)······(2^16+1)+1=?
化简(2-1)(2+1)(2^2+1)(2^4+1)······(2^16+1)+1=?

化简(2-1)(2+1)(2^2+1)(2^4+1)······(2^16+1)+1=?
(2-1)(2+1)(2^2+1)(2^4+1)······(2^16+1)+1
=(2^2-1)(2^2+1)(2^4+1)······(2^16+1)+1
=(2^4-1)(2^4+1)······(2^16+1)+1
=(2^8-1)(2^8+1)······(2^16+1)+1
=2^32-1+1
=2^32