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(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)
=(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)
再问: 再问一个。。。(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1
再答: (2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 =(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 =(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 =(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 =(2^8-1)(2^8+1)(2^16+1)(2^32+1)+1 =(2^16-1)(2^16+1)(2^32+1)+1 =(2^32-1)(2^32+1)+1 =(2^64-1)+1 =2^64
再问: 再问。。。我知道你狠受不了。。。100^2-99^2+98^2-97^2+96^2-95^2+``````+2^2-1^2 .答完了一定加分的。。。。
再答: 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) =199+195+。。。3 =50*(199+3)/2 =5050