问题 解答题
已知:A=xy-x2,B=
x2-2xy+y2
xy
,C=
x2
x-y
,若A÷B=C×D,求D.
答案

A=xy-x2=x(y-x),B=

x2-2xy+y2
xy
=
(x-y)2
xy
,C=
x2
x-y

∵A÷B=C×D,

∴x(y-x)÷

(x-y)2
xy
=
x2
x-y
×D,

所以D=x(y-x)×

xy
(x-y)2
×
x-y
x2
=-y;

∴D=-y.

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