题目内容

计算
(1)
12
m2-9
+
2
3-m
+
2
m+3

(2)
x2
x+y
-x+y
分析:(1)首先通分,然后利用同分母的分式相加减的运算法则求解即可求得答案;
(2)首先将原式化为
x2
x+y
-(x-y),再通分,然后利用同分母的分式相加减的运算法则求解即可求得答案.
解答:解:(1)
12
m2-9
+
2
3-m
+
2
m+3

=
12
(m+3)(m-3)
-
2(m+3)
(m+3)(m-3)
+
2(m-3)
(m+3)(m-3)

=
12-2(m+3)+2(m-3)
(m+3)(m-3)

=0;

(2)
x2
x+y
-x+y
=
x2
x+y
-(x-y)
=
x2
x+y
-
(x+y)(x-y)
x+y

=
x2-(x+y)(x-y)
x+y

=
y2
x+y
点评:此题考查了分式的加减运算法则.此题比较简单,注意先通分,再求解,注意运算结果需化为最简.
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