分解因式(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
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(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2^2-1)(2^2+1)(2^4+1)*....(2^64+1)+1
=............
=(2^64-1)(2^64+1)+1
=2^128-1+1
=2^128
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2^2-1)(2^2+1)(2^4+1)*....(2^64+1)+1
=............
=(2^64-1)(2^64+1)+1
=2^128-1+1
=2^128
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(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=3(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2^4-1)(2^4+1)(2^8+1)…(2^64+1)+1
=2^128-1+1
=2^128
=3(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2^4-1)(2^4+1)(2^8+1)…(2^64+1)+1
=2^128-1+1
=2^128
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(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=2^128-1+1
=2^128
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^64+1)+1
=2^128-1+1
=2^128
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