问题 解答题
先化简,再求值:当x=2,y=-1时,求
xy2
x2-y2
-
x4y
x4-y4
÷
x2
x2+y2
的值.
答案

原式=

xy2
x2-y2
-
x4y
(x2-y2)•(x2+y2)
x2+y2
x2

=

xy2
x2-y2
-
x2y
x2-y2

=

xy2-x2y
x2-y2

=

xy(y-x)
(x-y)(x+y)

=-

xy
x+y

原式=-

2×(-1)
2+(-1)
=2.

探究题
单项选择题