1/(x-4)(x-3)+1/(x-3)(x+2)+1/(x-2)(x-1)+1/(x-1)x+1/x(x+1)=1/x+1
题目
1/(x-4)(x-3)+1/(x-3)(x+2)+1/(x-2)(x-1)+1/(x-1)x+1/x(x+1)=1/x+1
可以写成：1/(x-4)-1/(x-3)+1/(x-3)-1/(x-2)+1/(x-2)-1/(x-1)+1/(x-1)-1/x+1/x-1/x+1=1/x+1
答案
1/(x-4)-1/(x-3)+1/(x-3)-1/(x-2)+1/(x-2)-1/(x-1)+1/(x-1)-1/x+1/x-1/x+1 =1/(x-4)-1/(x+1) =5/(x-4)(x+1)
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