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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,

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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)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(2010个0)×100...0(2010个0)-200...0(2010个0)
=100...0(2010个0)×(100...0-2)(2010个0)
=999...800…0(2009个9、2010个0)
再问: 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?
再答: (a+1)(a-1)=a²-1 (100...00+1)(2010个0)×(100...0-1)(2010个0)=100...00²(2010个0)-1