计算题. (1)2/x−1+x+1/1−x (2)x+3/3−x+x2−9x2+6x+9 (3)a+2-4/2−a

问题描述:

计算题.
(1)

2
x−1
+
x+1
1−x

(2)
x+3
3−x
+
x2−9
x2+6x+9

(3)a+2-
4
2−a

(1)原式=

2
x−1
x+1
x−1
=
1−x
x−1
=-1;
(2)原式=
x+3
3−x
+
(x+3)(x−3)
(x+3)2
=
x−3
x+3
x+3
x−3
=
(x−3)2−(x+3)2
(x+3)(x−3)
=
12x
x2−9

(3)原式=
a+2
1
+
4
a−2
=
(a+2)(a−2)+4
a−2
=
a2
a−2