化简题:(1)2x-64-4x+x2÷(x+3)×x2+x-63-x;(2)-(-a2b)2•(-b2a)3•(1ab)4•(2a3);(3)2+3yx2-3yx-12x+y312x-y3;(4)3-

题目简介

化简题:(1)2x-64-4x+x2÷(x+3)×x2+x-63-x;(2)-(-a2b)2•(-b2a)3•(1ab)4•(2a3);(3)2+3yx2-3yx-12x+y312x-y3;(4)3-

题目详情

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)
题型:解答题难度:中档来源:不详

答案

(1)class="stub"2x-6
4-4x+x2
÷(x+3)×
x2+x-6
3-x

=
2(x-3)
(x-2)2
×class="stub"1
x+3
×
(x-2)(x+3)
3-x

=-class="stub"2
x-2


(2)-(-
a2
b
)2•(-
b2
a
)3•(class="stub"1
ab
)4•(2a3)

=
a4
b2
b6
a3
class="stub"1
a4b4
•8a3
=8;

(3)
2+class="stub"3y
x
2-class="stub"3y
x
-
class="stub"1
2
x+class="stub"y
3
class="stub"1
2
x-class="stub"y
3

=class="stub"2x+3y
2x-3y
-class="stub"3x+2y
3x-2y

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

=class="stub"10xy
(2x-3y)(3x-2y)


(4)class="stub"3-x
2x-4
÷(x+2-class="stub"5
x-2
)

=class="stub"3-x
2(x-2)
÷
(x+2)(x-2)-5
x-2

=class="stub"3-x
2(x-2)
×class="stub"x-2
(x+3)(x-3)

=-class="stub"1
2(x+3)


(5)(x2-1)(class="stub"1
x-1
-class="stub"1
x+1
-1)

=(x+1)(x-1)(class="stub"1
x-1
-class="stub"1
x+1
-1)
=x+1-(x-1)-(x+1)(x-1)
=3-x2.

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