(1+1/2+1/3+1/4)(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)(1/2+1/3+1/4)
设1+1/2+1/3+1/4为y 1/2+1/3+1/4为x
=y(x+1/5)-(y+1/5)x
=yx+1/5y-yx-1/5x
=1/5Y-1/5x
=1/5(y-x)
=1/5*1
=1/5
(1+1/2+1/3+1/4)(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)(1/2+1/3+1/4)
设1+1/2+1/3+1/4为y 1/2+1/3+1/4为x
=y(x+1/5)-(y+1/5)x
=yx+1/5y-yx-1/5x
=1/5Y-1/5x
=1/5(y-x)
=1/5*1
=1/5