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(1+1/2+1/3+1/4)乘以(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)乘以(1/2

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/14 07:38:19
(1+1/2+1/3+1/4)乘以(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)乘以(1/2+1/3+1/4)简算
(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4) = (1/2+1/3+1/4+1/5)+ (1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)- (1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4) = (1/2+1/3+1/4+1/5)+ (1/2+1/3+1/4)*(1/2+1/3+1/4+1/5-1-1/2-1/3-1/4-1/5) = (1/2+1/3+1/4+1/5)- (1/2+1/3+1/4)= 1/5