计算:xy(x^-1+y^-1)x^-1-y^-1/ [(x^-2)-(y^-2)]

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计算:xy(x^-1+y^-1)
x^-1-y^-1/ [(x^-2)-(y^-2)]

xy(x^-1+y^-1)=x+y
x^-1-y^-1/ [(x^-2)-(y^-2)]
=1/(1/x+1/y)
=xy/(x+y)

哇 下学这么久了 都忘了

xy(x^-1+y^-1)
=xy(1/x+1/y)
=xy[(y+x)/xy]
=(x+y)


x^-1-y^-1/ [(x^-2)-(y^-2)]
=[x^(-1)-y^(-1)]/[x^(-1)+y^(-1)][(x^(-1)-y^(-1)]
=1/[x^(-1)+y^(-1)]
=1/(1/x+1/y)
=xy/(x+y)