问题 解答题
计算
(1)
4
x-2
-x+2

(2)
x2-9
x2-1
÷
3-x
x2+x

(3)1-
a-b
a+2b
÷
a2-b2
a2+4ab+4b2

(4)(1+
1
x-1
x
x2-1
答案

(1)原式=

4
x-2
-
(x-2)2
x-2

=

4-(x-2)2
x-2

=

x(4-x)
x-2

(2)原式=

(x-3)(x+3)
(x+1)(x-1)
×
x(x+1)
-(x-3)

=

x+3
1-x

(3)原式=1-

a-b
a+2b
×
(a+2b)2
(a+b)(a-b)

=1-

a+2b
a+b

=-

b
a+b

(4)原式=

x
x-1
×
(x+1)(x-1)
x

=x+1.

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