99...9(1998个9)*99...9(1998个9)+199...9(1998个9)=?
答案:2 悬赏:50 手机版
解决时间 2021-01-29 07:53
- 提问者网友：送舟行
- 2021-01-28 08:39
99...9(1998个9)*99...9(1998个9)+199...9(1998个9)=?
最佳答案
- 五星知识达人网友：撞了怀
- 2021-01-28 09:29
=(10^1998 - 1) * (10^1998 - 1) + 2*10^1998 - 1
= 10^3996 - 2*19^1998 +1 + 2*19^1998 - 1
= 10^3996
= 10^3996 - 2*19^1998 +1 + 2*19^1998 - 1
= 10^3996
全部回答
- 1楼网友：时间的尘埃
- 2021-01-28 11:02
99...9(1998个9)*99...9(1998个9)+199...9(1998个9)
=99...9(1998个9)*99...9(1998个9)+[99...9(1998个9)+100...0(1998个0)]
=99...9(1998个9)*[99...9(1998个9)+1]+100...0(1998个0)
=99...9(1998个9)*100...0(1998个0)+100...0(1998个0)
=[99...9(1998个9)+1]*100...0(1998个0)
=100...0(1998个0)*100...0(1998个0)
=100...0(3996个0)
=99...9(1998个9)*99...9(1998个9)+[99...9(1998个9)+100...0(1998个0)]
=99...9(1998个9)*[99...9(1998个9)+1]+100...0(1998个0)
=99...9(1998个9)*100...0(1998个0)+100...0(1998个0)
=[99...9(1998个9)+1]*100...0(1998个0)
=100...0(1998个0)*100...0(1998个0)
=100...0(3996个0)
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