(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)过程

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(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)过程(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)过程(a+1)(a-1)(a^2+1)(

(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)过程
(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)
过程

(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)过程
平方差
(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)
=(a^2-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)
=(a^4-1)(a^4+1)(a^8+1)(a^16+1)
=(a^8-1)(a^8+1)(a^16+1)
=(a^16-1)(a^16+1)
=a^32-1

(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)
先看前两项=(a^2-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)
再看前两项=(a^4-1)(a^4+1)(a^8+1)(a^16+1)
接着看前两项=(a^8-1)(a^8+1)(a^16+1)
继续看前两项=(a^16-1)(a^16+1)
最后两项=a^32-1