问题 解答题
先化简,再求值.
(1)
a2+2a+1
a2-1
-
a
a-1
,其中a=3.
(2)(
3x
x-1
-
x
x+1
)
x2-1
x
,其中x=
2
-1
答案

(1)原式=

a2+2a+1
(a+1)(a-1)
-
a(a+1)
(a+1)(a-1)

=

a2+2a+1-a2-a
(a+1)(a-1)

=

a+1
(a+1)(a-1)

=

1
a-1

当a=3时,原式=

1
3-1
=
1
2

(2)原式=

3x
x-1
(x+1)(x-1)
x
-
x
x+1
(x+1)(x-1)
x

=3(x+1)-(x-1)

=3x+3-x+1

=2x+4,

当x=

2
-1时,原式=2(
2
-1)+4=2
2
+2.

选择题
多项选择题