问题
解答题
先化简再求值: (1)(1+
(2)(
|
答案
(1)(1+
)÷1 x-2 x2-1 2x-4
=
÷x-2+1 x-2 (x+1)(x-1) 2(x-2)
=
•x-1 x-2 2(x-2) (x+1)(x-1)
=
,2 x+1
当x=3时,原式=
=2 3+1
;1 2
(2)(
-1 a-b
)÷1 a+b b a2-2ab+b2
=
÷a+b-(a-b) (a+b)(a-b) b (a-b)2
=
•2b (a+b)(a-b) (a-b)2 b
=
,2(a-b) a+b
当a=1+
,b=1-2
时,原式=2
=22(1+
-1+2
)2 1+
+1-2 2
.2