(1+1/16+1/17+1/18)*(1/16+1/17+1/18+1/19)-(1+1/16+1/17+1/18+1

问题描述:

(1+1/16+1/17+1/18)*(1/16+1/17+1/18+1/19)-(1+1/16+1/17+1/18+1/19)*(1/16+1/17+1/18)简便运算
1个回答 分类:数学 2014-11-15

问题解答:

我来补答
原式=(1+1/16+1/17+1/18)(1/16+1/17+1/18)+(1+1/16+1/17+1/18)×1/19
-(1+1/16+1/17+1/18)(1/16+1/17+1/18)-1/19×(1/16+1/17+1/18)
=(1+1/16+1/17+1/18)×1/19-1/19×(1/16+1/17+1/18)
=1/19+(1/16+1/17+1/18)×1/19-1/19×(1/16+1/17+1/18)
=1/19
 
 
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