问题 解答题

计算:(x-1-y-1)÷(x-2-y-2)-xy(x+y)-1

答案

原式=(

1
x
-
1
y
)÷(
1
x2
-
1
y2
)-
xy
x+y

=

y-x
xy
÷
(y-x)(y+x)
x2y2
-
xy
x+y

=

y-x
xy
×
x2y2
(y-x)(y+x)
-
xy
x+y

=

xy
y+x
-
xy
x+y

=0.

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