简便运算,谢谢
(1/8+1/9+1/10+1/11)×(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)×(1/9+1/10+1/11)=...
(1/8+1/9+1/10+1/11)×(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)×(1/9+1/10+1/11)=
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(1/8+1/9+1/10+1/11)×(1/9+1/10+1/11+1/12)-(1/8+1/9+1/10+1/11+1/12)×(1/9+1/10+1/11)
=(1/8+1/9+1/10+1/11)×(1/9+1/10+1/11)+(1/8+1/9+1/10+1/11)×1/12-(1/8+1/9+1/10+1/11)×(1/9+1/10+1/11)-1/12×(1/9+1/10+1/11)
=(1/8+1/9+1/10+1/11)×1/12-1/12×(1/9+1/10+1/11)
= 1/8×1/12
=1/96
=(1/8+1/9+1/10+1/11)×(1/9+1/10+1/11)+(1/8+1/9+1/10+1/11)×1/12-(1/8+1/9+1/10+1/11)×(1/9+1/10+1/11)-1/12×(1/9+1/10+1/11)
=(1/8+1/9+1/10+1/11)×1/12-1/12×(1/9+1/10+1/11)
= 1/8×1/12
=1/96
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