问题 解答题
化简与计算
(1)计算:
a2
a-2
+
4
2-a

12
m2-9
-
2
m-3

(2)先化简再求值
(
3x
x-2
-
x
x+2
2x
x2-4
,其x=
3
-4

a2-4
a2+6a+9
÷
a-2
2a+6
,其中a=-5.
答案

(1)原式=

a2
a-2
-
4
a-2

=

a2-4
a-2

=a+2;

原式=

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

=

12-2m-6
(m+3)(m-3)

=

6-2m
(m+3)(m-3)

=-

2
(m+3)

(2)原式=

3x(x+2)-x(x-2)
(x-2)(x+2)
÷
2x
(x+2)(x-2)

=

2x(x+4)
(x+2)(x-2)
×
(x+2)(x-2)
2x

=x+4,

当x=

3
-4时,原式=
3
-4+4=
3

原式=

(a+2)(a-2)
(a+3)2
×
2(a+3)
a-2

=

2(a+2)
a+3

当a=-5时,原式=

2(-5+2)
-5+3
=3.

单项选择题
单项选择题