试题与答案

计算:(1)(xy-x2)÷x-yxy(2)(a2b-c)2•(c2-ab)3÷

题型:解答题

题目:

计算:
(1)(xy-x2
x-y
xy

(2)(
a2b
-c
)2•(
c2
-ab
)3÷(
bc
a
)4

(3)
x3-2x2+4x
x2-4x+4
÷
x2-2x+4
x-2

(4)
m-m2
m2-1
÷
m
m-1
•(
m+1
m-1
)2

答案:

(1)原式=x(y-x)×

xy
x-y

=-x2y;

(2)原式=

a4b
c2
c6
(-a)3b3
a4
b4c4

=-

a5
b5

(3)原式=

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

=

x
x-2

(4)原式=

-(m-1)
(m+1)(m-1)
m-1
m
(m+1)2
(m-1)2

=

-1
m+1
m-1
m
(m+1)2
(m-1)2

=-

m+1
m-1

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