(1十1/2十1/3十1/4)x(1/2十1/3十1/4十1/5)一( 1十1/2十1/3十1/4十1/5)x( 1/2十1/3十1/4)
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![(1十1/2十1/3十1/4)x(1/2十1/3十1/4十1/5)一( 1十1/2十1/3十1/4十1/5)x( 1/2十1/3十1/4)](/uploads/image/z/664341-69-1.jpg?t=%281%E5%8D%811%2F2%E5%8D%811%2F3%E5%8D%811%2F4%29x%281%2F2%E5%8D%811%2F3%E5%8D%811%2F4%E5%8D%811%2F5%29%E4%B8%80%28+1%E5%8D%811%2F2%E5%8D%811%2F3%E5%8D%811%2F4%E5%8D%811%2F5%29x%28+1%2F2%E5%8D%811%2F3%E5%8D%811%2F4%29)
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(1十1/2十1/3十1/4)x(1/2十1/3十1/4十1/5)一( 1十1/2十1/3十1/4十1/5)x( 1/2十1/3十1/4)
(1十1/2十1/3十1/4)x(1/2十1/3十1/4十1/5)一( 1十1/2十1/3十1/4十1/5)x( 1/2十1/3十1/4)
(1十1/2十1/3十1/4)x(1/2十1/3十1/4十1/5)一( 1十1/2十1/3十1/4十1/5)x( 1/2十1/3十1/4)
设(1/2十1/3十1/4)为X,则上述式子变为:(X+1)*(X+1/5)—(X+1+1/5)*X
式子展开化简后=1/5
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