问题 解答题
化简题:
(1)
2x-6
4-4x+x2
÷(x+3)×
x2+x-6
3-x

(2)-(-
a2
b
)2•(-
b2
a
)3•(
1
ab
)4•(2a3)

(3)
2+
3y
x
2-
3y
x
-
1
2
x+
y
3
1
2
x-
y
3

(4)
3-x
2x-4
÷(x+2-
5
x-2
)

(5)(x2-1)(
1
x-1
-
1
x+1
-1)
答案

(1)

2x-6
4-4x+x2
÷(x+3)×
x2+x-6
3-x

=

2(x-3)
(x-2)2
×
1
x+3
×
(x-2)(x+3)
3-x

=-

2
x-2

(2)-(-

a2
b
)2•(-
b2
a
)3•(
1
ab
)4•(2a3)

=

a4
b2
b6
a3
1
a4b4
•8a3

=8;

(3)

2+
3y
x
2-
3y
x
-
1
2
x+
y
3
1
2
x-
y
3

=

2x+3y
2x-3y
-
3x+2y
3x-2y

=

(2x+3y)(3x-2y)-(2x-3y)(3x+2y)
(2x-3y)(3x-2y)

=

10xy
(2x-3y)(3x-2y)

(4)

3-x
2x-4
÷(x+2-
5
x-2
)

=

3-x
2(x-2)
÷
(x+2)(x-2)-5
x-2

=

3-x
2(x-2)
×
x-2
(x+3)(x-3)

=-

1
2(x+3)

(5)(x2-1)(

1
x-1
-
1
x+1
-1)

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

1
x-1
-
1
x+1
-1)

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

=3-x2

填空题 案例分析题
判断题