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(1/8+1/9+1/10+1/11)X(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/06/17 09:15:30
(1/8+1/9+1/10+1/11)X(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)X(1/9+1/10+1/11)
令a=1/9+1/10+1/11
(1/8+1/9+1/10+1/11)X(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)X(1/9+1/10+1/11)
=(1/8+a)*(a+1/12)-(1/8+a+1/12)*a
=(1/8+a)*(a+1/12)-(1/8+a)a-1/12*a
=(1/8+a)*a+1/12*(1/8+a)-(1/8+a)a-1/12*a
=1/12*(1/8+a)-1/12*a
=1/12*1/8+1/12*a-1/12*a
=1/96