
(1+1/2+1/3+1/5)*(1/2+1/3+1/5 +1/7)-(1+1/2+1/3+1/5+1/7)*(1/2+1/3+1/5)=( )
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(1+1/2+1/3+1/5)*(1/2+1/3+1/5+1/7)-(1+1/2+1/3+1/5+1/7)*(1/2+1/3+1/5)
=1*(1/2+1/3+1/5+1/7)+(1/2+1/3+1/5)*(1/2+1/3+1/5+1/7)-(1+1/2+1/3+1/5+1/7)*(1/2+1/3+1/5)
=(1/2+1/3+1/5+1/7)+(1/2+1/3+1/5)*(1/2+1/3+1/5+1/7-(1+1/2+1/3+1/5+1/7))
=(1/2+1/3+1/5+1/7) -(1/2+1/3+1/5)
=1/7
=1*(1/2+1/3+1/5+1/7)+(1/2+1/3+1/5)*(1/2+1/3+1/5+1/7)-(1+1/2+1/3+1/5+1/7)*(1/2+1/3+1/5)
=(1/2+1/3+1/5+1/7)+(1/2+1/3+1/5)*(1/2+1/3+1/5+1/7-(1+1/2+1/3+1/5+1/7))
=(1/2+1/3+1/5+1/7) -(1/2+1/3+1/5)
=1/7
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