（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)再問一個。。。（2+1）（2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1（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再問。。。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。。。。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