100...01(2009个0)×99...9(2010个9)-199...9(2010个9)的结果和过程还有解析,

问题描述:

100...01(2009个0)×99...9(2010个9)-199...9(2010个9)的结果和过程还有解析,

100...01(2009个0)×99...9(2010个9)-199...9(2010个9)=(100...00+1)(2010个0)×(100...0-1)(2010个0)-199...9(2010个9)=100...0(2010个0)×100...0(2010个0)-1-199...9(2010个9)=100...0(20...100...01(2009个0)×99...9(2010个9)-199...9(2010个9)=(100...00+1)(2010个0)×(100...0-1)(2010个0)-199...9(2010个9)=100...0(2010个0)×100...0(2010个0)-1-199...9(2010个9)请问,你把100...0(2010个0)提出来以后不是应该是:100...0(2010个0)×(+1-1)-199...9(2010个9)么,再说啦,+1-1=0,后面怎么还有一个-1?(a+1)(a-1)=a²-1(100...00+1)(2010个0)×(100...0-1)(2010个0)=100...00²(2010个0)-1