Question

2xy-y2

x2-y2

+

x-y

x+y

=

m

x2-y2

，则m=

x²

．

Answer 1

分析：首先将分式进行通分，再进行分式的加减运算，进而得出m的值．

解答：解：∵

2xy-y2

x2-y2

+

x-y

x+y

=

m

x2-y2

，
∴

2xy-y2

x2-y2

+

(x-y)2

x2-y2

=

x2

x2-y2

．
故答案为：x²．

点评：此题主要考查了分式方程的化简求值，正确进行通分运算是解题关键．