先化简,再求值:(1) 2a a 2 -4 + 1 2-a ,其中a= 1 2 .(2)

2024-11-20 08:49:27
推荐回答(1个)
回答(1):

(1)原式=
2a
(a+2)(a-2)
-
a+2
(a+2)(a-2)

=
2a-a-2
(a+2)(a-2)

=
a-2
(a+2)(a-2)

=
1
a+2

当a=
1
2
时,原式=
1
1
2
+2
=
2
5


(2)原式=
(a+2b)(a-b)
(a+b)(a-b)
+
2 b 2
(a+b)(a-b)
-
2ab
(a+b)(a-b)

=
a 2 +ab-2 b 2 +2 b 2 -2ab
(a+b)(a-b)

=
a 2 -ab
(a+b)(a-b)

=
a(a-b)
(a+b)(a-b)

=
a
a+b

当a=-2,b=
1
3
时,原式=
-2
-2+
1
3
=
6
5