数学题一道，帮忙解下，写过程
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(2+1)(2^2+1)(2^4+1) ....(2^64+1)
= (2-1)(2+1)(2^2+1)(2^4+1) ....(2^64+1) / (2-1)
= (2^2-1)(2^2+1)(2^4+1) ....(2^64+1) / (2-1)
=(2^4-1)(2^4+1) ....(2^64+1) / (2-1)
= ...
=(2^64-1)(2^64+1) / (2-1)
=(2^128-1)/(2-1)
=2^128-1
= (2-1)(2+1)(2^2+1)(2^4+1) ....(2^64+1) / (2-1)
= (2^2-1)(2^2+1)(2^4+1) ....(2^64+1) / (2-1)
=(2^4-1)(2^4+1) ....(2^64+1) / (2-1)
= ...
=(2^64-1)(2^64+1) / (2-1)
=(2^128-1)/(2-1)
=2^128-1
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