(1/4-1)*(1/9-1)*(1/16-1).(1/2500-1)怎么算?

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(1/4-1)*(1/9-1)*(1/16-1).(1/2500-1)怎么算?(1/4-1)*(1/9-1)*(1/16-1).(1/2500-1)怎么算?(1/4-1)*(1/9-1)*(1/16-

(1/4-1)*(1/9-1)*(1/16-1).(1/2500-1)怎么算?
(1/4-1)*(1/9-1)*(1/16-1).(1/2500-1)怎么算?

(1/4-1)*(1/9-1)*(1/16-1).(1/2500-1)怎么算?
(1/4-1)*(1/9-1)*(1/16-1).(1/2500-1)
=(1/2+1)x(1/2-1)x(1/3+1)x(1/3-1)x(1/4+1)x(1/4-1)x……x(1/50+1)x(1/50-1)
=(3/2x4/3x5/4x……x51/50)x[(-1/2)x(-2/3)x(-3/4)x……x(-49/50)]
=51/2x(-1/50)
=-51/100