Question

化简：

2m

m2-4

-

1

m+2

=

1

m-2

．

Answer 1

分析：先通分，再把分子相加减即可．

解答：解：原式=

2m

(m+2)(m-2)

-

1

m+2

=

2m

(m+2)(m-2)

-

m-2

(m+2)(m-2)

=

2m-m+2

(m+2)(m-2)

=

1

m-2

．
故答案为：

1

m-2

．

点评：本题考查的是分式的加减法，即异分母分式的加减就转化为同分母分式的加减．