计算:(y+1)/x*(x+1)/y-(y-1)/x*(x-1)/y的值是?

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计算:(y+1)/x*(x+1)/y-(y-1)/x*(x-1)/y的值是?

计算:(y+1)/x*(x+1)/y-(y-1)/x*(x-1)/y的值是?
计算:(y+1)/x*(x+1)/y-(y-1)/x*(x-1)/y的值是?

计算:(y+1)/x*(x+1)/y-(y-1)/x*(x-1)/y的值是?
(y+1)/x*(x+1)/y-(y-1)/x*(x-1)/y
=(y+1)(x+1)/xy-(y-1)(x-1)/xy
=[(y+1)(x+1)-(y-1)(x-1)]/xy
=(xy+x+y+1-xy+x+y-1)/xy
=(2x+2y)/xy

=(xy+x+y+1-xy+x+y-1)/xy
=2(x+y)/xy