问题 解答题
计算:
(1)(-
b2
2a
)÷(-
b
a2
)3÷(
1
ab
)3

(2)(
a2-b2
b
)2÷(a2+ab)2•(
ab
b-a
)2

(3)
a+2
a2-2a+1
a2-4a+4
a+1
÷
a2-4
a2-1

(4)
x2-1
x2+2x+1
÷
2x2-2
4x2+8x+4
÷(x-1)2
答案

(1)原式=-

b2
2a
×(-
a6
b3
)×a3b3=
1
2
a8b2

(2)原式=

(a+b)2(a-b)2
b2
1
a2(a+b)2
a2b2
(a-b)2
=1;

(3)原式=

a+2
(a-1)2
(a-2)2
a+1
(a+1)(a-1)
(a+2)(a-2)
=
a-2
a-1

(4)原式=

(x+1)(x-1)
(x+1)2
4(x+1)2
2(x+1)(x-1)
1
(x-1)2
=
2
(x-1)2

单项选择题
单项选择题