问题 解答题
计算:
(1)
x2-2x+1
x2-1
÷
x-1
x2+x

(2)(
a2b
-c
)3•(
c2
-ab
)2÷(
bc
a
)4

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

(4)
16-a2
a2+8a+16
÷
a-4
2a+8
答案

(1)原式=

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

(2)原式=

a6b3
-c3
c4
a2b2
a4
b4c4
=-
a8
b3c3

(3)原式=

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

(4)原式=-

(a+4)(a-4)
(a+4)2
2(a+4)
a-4
=-2.

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