(1+1/1998+1/1999)*(1/1998+1/1999+1/2000)-(1+1/1998+1/1999+1/2000

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(1+1/1998+1/1999)*(1/1998+1/1999+1/2000)-(1+1/1998+1/1999+1/2000
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(1+1/1998+1/1999)*(1/1998+1/1999+1/2000)-(1+1/1998+1/1999+1/2000
(1+1/1998+1/1999)*(1/1998+1/1999+1/2000)-(1+1/1998+1/1999+1/2000

(1+1/1998+1/1999)*(1/1998+1/1999+1/2000)-(1+1/1998+1/1999+1/2000
(1+1/1998+1/1999)*(1/1998+1/1999+1/2000)-(1+1/1998+1/1999+1/2000)(1/1998+1/1999)
设1+1/1998+1/1999+1/2000=a,
1+1/1998+1/1999=b
则:
a-b=1/2000
原式=b(a-1)-a(b-1)=ab+a-ab-b=a-b=1/2000