(2+1)(2^2+1)(2^4+1)(2^8+1)要有过程!

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(2+1)(2^2+1)(2^4+1)(2^8+1)要有过程!
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(2+1)(2^2+1)(2^4+1)(2^8+1)要有过程!
(2+1)(2^2+1)(2^4+1)(2^8+1)要有过程!

(2+1)(2^2+1)(2^4+1)(2^8+1)要有过程!
(2+1) (2^2 +1) (2^4 +1) (2^8 +1)
=(2^2-1) (2^2 +1) (2^4 +1) (2^8 +1)
=(2^4 -1) (2^4 +1) (2^8 +1)
=(2^8 -1) (2^8 +1)
=2^16 -1

原式=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)
=(2^4 -1) (2^4 +1) (2^8 +1)
=(2^8 -1) (2^8 +1)
=2^16 -1