计算(1-1/2-1/3-1/4-1/5)(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)(1/2+1/3+1/4+1/5)

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计算(1-1/2-1/3-1/4-1/5)(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)(1/2+1/3+1/4+1/5)计算(1-1/2-1/3-1/4-

计算(1-1/2-1/3-1/4-1/5)(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)(1/2+1/3+1/4+1/5)
计算(1-1/2-1/3-1/4-1/5)(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)(1/2+1/3+1/4+1/5)

计算(1-1/2-1/3-1/4-1/5)(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)(1/2+1/3+1/4+1/5)
设u=1/2+1/3+1/4+1/5,
v=1/2+1/3+1/4+1/5+1/6.
原式=(1-u)v-(1-v)u=v-u=1/6


设m=1/2+1/3+1/4+1/5
原式
=(1-m)*(m+1/6)-(1-m-1/6)*m
=m-m*m+1/6-1/6*m-m+m*m+1/6*m
=1/6