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(1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5)

分类: 作业答案 • 2021-12-29 10:05:30
问题描述：

(1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5)

答

设 1/2+1/3+1/4+1/5 = A
(1+1/3+1/4) = B
(1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5)
= 1 * B + A * B - B * A
= 1 * B
= (1+1/3+1/4)
= 19/12

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