{a-1}{a-2}分之1+{a-2}{a-3}分之1+{a-3}{a-4}分之1+{a-4}{a-5}的值
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1/(a-1)(a-2)+1/(a-2)(a-3)+1/(a-3)(a-4)+1/(a-4)(a-5)
=-[1/(a-1)-1/(a-2)]-[1/(a-2)-1/(a-3)]-[1/(a-3)-1/(a-4)]-[1/(a-4)-1/(a-5)]
=-[1/(a-1)-1/(a-2)+1/(a-2)-1/(a-3)+1/(a-3)-1/(a-4)+1/(a-4)-1/(a-5)]
=-[1/(a-1)-1/(a-5)]
=-[(a-5)/(a-1)(a-5)-(a-1)/(a-1)(a-5)]
=-[(a-5-a+1)/(a-1)(a-5)]
=-[-4/(a-1)(a-5)]
=4/(a-1)(a-5)
=-[1/(a-1)-1/(a-2)]-[1/(a-2)-1/(a-3)]-[1/(a-3)-1/(a-4)]-[1/(a-4)-1/(a-5)]
=-[1/(a-1)-1/(a-2)+1/(a-2)-1/(a-3)+1/(a-3)-1/(a-4)+1/(a-4)-1/(a-5)]
=-[1/(a-1)-1/(a-5)]
=-[(a-5)/(a-1)(a-5)-(a-1)/(a-1)(a-5)]
=-[(a-5-a+1)/(a-1)(a-5)]
=-[-4/(a-1)(a-5)]
=4/(a-1)(a-5)
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