Question

化简：

x+ xy

y+ xy

+

-y+ xy

x- xy

．

Answer 1

考点：二次根式的混合运算

专题：

分析：首先分母有理化，进而化简求出即可．

解答：解：

x+ xy

y+ xy

+

-y+ xy

x- xy

=

(x+ xy )(y- xy )

(y+ xy )(y- xy )

+

(-y+ xy )(x+ xy )

(x- xy )(x+ xy )

=

xy-xy-x xy +y xy

y(y-x)

+

-xy-y xy +x xy +xy

x2-xy

=

(y-x) xy

y(y-x)

+

(x-y) xy

x(x-y)

=

xy

y

+

xy

x

．

点评：此题主要考查了二次根式的混合运算，正确化简二次根式是解题关键．