作业帮（a+1)(a^2+1)(a^4+1）`````（a^1024+1),其中a不等于0
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（a+1)(a^2+1)(a^4+1）`````（a^1024+1),其中a不等于0
（a+1)(a^2+1)(a^4+1）`````（a^1024+1),其中a不等于0
（a+1)(a^2+1)(a^4+1）`````（a^1024+1),其中a不等于0
（a+1)(a^2+1)(a^4+1）`````（a^1024+1)
=（a+1)(a^2+1)(a^4+1）`````（a^1024+1)(a-1)/(a-1)
=（a^2-1)(a^2+1)(a^4+1）`````（a^1024+1)/(a-1)
=（a^4-1)(a^4+1）`````（a^1024+1)/(a-1)
=（a^8-1)`````（a^1024+1)/(a-1)
=（a^1024-1)`````（a^1024+1)/(a-1)
=（a^2048-1)/(a-1)
（a+1)(a^2+1)(a^4+1）`````（a^1024+1)
=(a-1)（a+1)(a^2+1)(a^4+1）`````（a^1024+1)/(a-1)
=(a^2-1)(a^2+1)(a^4+1）`````（a^1024+1)/(a-1)
=(a^4-1)(a^4+1）`````（a^1024+1)/(a-1)
=...
=（a^1024+1)（...
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（a+1)(a^2+1)(a^4+1）`````（a^1024+1)
=(a-1)（a+1)(a^2+1)(a^4+1）`````（a^1024+1)/(a-1)
=(a^2-1)(a^2+1)(a^4+1）`````（a^1024+1)/(a-1)
=(a^4-1)(a^4+1）`````（a^1024+1)/(a-1)
=...
=（a^1024+1)（a^1024-1)/(a-1)
=（a^2048-1)/(a-1)
********************************************************
100^2-99^2+98^2-97^2+96^2-95^2+``````+2^2-1^2
=(100+99)(100-99)+(98+97)(98-97)+...+(2+1)(2-1)
=100+99+...+2+1
=100*101/2
=5050
**********************************************************
收起
先假设a=1，可以得到值，然后添加一个(a-1),计算后在除个(a-1),