x-1分之一+（x-1）（x-2）分之一+（x-2）（x-3）分之一+（x-3）（x-4）分之一+（x-4）+（x-5）分之一
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1/(x-1)+1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)=[(x-2)+1]/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)=1/(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)=[(x-3)+1]/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)=1/(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)=1/(x-4)+1/(x-4)(x-5)=1/(x-5)
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