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