已知yx=32,则x2-y2x2-2xy+y2÷xy+y2x2-xy=______.-数学

题目简介

已知yx=32,则x2-y2x2-2xy+y2÷xy+y2x2-xy=______.-数学

题目详情

已知
y
x
=
3
2
,则
x2-y2
x2-2xy+y2
÷
xy+y2
x2-xy
=______.
题型:填空题难度:中档来源:不详

答案

原式=
(x+y)(x-y)
(x-y)2
×
x(x-y)
y(x+y)

=class="stub"x
y

class="stub"y
x
=class="stub"3
2

class="stub"x
y
=class="stub"2
3

故答案为:class="stub"2
3

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