计算:(1)x2x-1-x-1(2)x2+2xx2-4-2x-2(3)(xx+1-3xx-1)÷xx2-1(4)(1+2ba-b)2•(12ba+b)2.

计算:(1)x2x-1-x-1(2)x2+2xx2-4-2x-2(3)(xx+1-3xx-1)÷xx2-1(4)(1+2ba-b)2•(12ba+b)2.

题型:解答题难度:一般来源:不详
计算:
(1)
x2
x-1
-x-1

(2)
x2+2x
x2-4
-
2
x-2

(3)(
x
x+1
-
3x
x-1
)÷
x
x2-1

(4)(1+
2b
a-b
)
2
(1
2b
a+b
)
2
答案
(1)原式=
x2
x-1
-
x+1
1

=
x2-(x+1)(x-1)
x-1

=
1
x-1


(2)原式=
x(x+2)
(x+2)(x-2)
-
2
x-2

=
x
x-2
-
2
x-2

=
x-2
x-2

=1.

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

=
-2x2-4x
x

=-2x-4.

(4)原式=(
a-b+2b
a-b
2•(
a+3b
a+b
2
=
(a+b)2
(a-b)2
(a+3b)2
(a+b)2

=
(a+3b)2
(a-b)2

=
a2+6ab+9b2
a2-2ab+b2
举一反三
已知
1
x
+
2
y
=5
,求代数式
2x+xy+y
8x-3xy+4y
的值.
题型:解答题难度:一般| 查看答案
先化简
1
x+1
-
1
x2-1
÷
x+1
x2-2x+1
,然后从-1,1,2,


3
-1中选取一个你认为合适的数作为x的值代入求值.
题型:解答题难度:一般| 查看答案
先化简,再求值:
x2
x-2
-
4x
x-2
+
4
x-2
,其中x=


2
+2.
题型:解答题难度:一般| 查看答案
3-m
2m-4
÷(m+2-
5
m-2
)
题型:解答题难度:一般| 查看答案
计算:
(1)
a
a+1
+
a-1
a2-1

(2)
x-y
x+3y
÷
x2-y2
x2+6xy+9y2
-
2y
x+y
题型:解答题难度:一般| 查看答案
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