问题
解答题
先化简再求值: (1)
(2)(
(3)(1+
(4)(
|
答案
(1)原式=
=2x-x x-3
,当x=-1时,原式=x x-3
=-1 -1-3
;1 4
(2)原式=(
-3a a-1
)•a a+1
=(a+1)(a-1) a
•3a a-1
-(a+1)(a-1) a
•a a+1
=3(a+1)-(a-1)=2a+4,当a=2时,原式=4+4=8;(a+1)(a-1) a
(3)原式=[1+
]•1 (a+1)(a-1)
=a-1 a
+a-1 a
=1 a(a+1)
=(a-1)(a+1)+1 a(a+1)
=a2 a(a+1)
,当a=-3时,原式=a a+1
=-3 -2
;3 2
(4)原式=(
+1 a-2
)•1 a+2
=(a-2)2 2a
•1 a-2
+(a-2)2 2a
•1 a+2
=(a-2)2 2a
+a-2 2a
=(a-2)2 2a(a+2)
=(a-2)(a+2)+(a-2)2 2a(a+2)
=2a2-4a 2a(a+2)
,当a=-4时,原式=a-2 a+2
=3.-6 -2