问题 解答题
计算:
(1)
2a+5
2(a+1)
-
a-1
2(a+1)
+
2a-3
2(a+1)

(2)(
a2b
-c2
)3÷(
-a3
c
)2

(3)
a2+5a+4
a2+a-6
a2-6a+8
a2-16

(4)
2x-6
x-2
÷(
5
x-2
-x-2)
答案

(1)原式=

2a+5-a+1+2a-3
2(a+1)
=
3(a+1)
2(a+1)
=
3
2

(2)原式=

a6b3
-c6
×
c2
a6
=-
b3
c4

(3)原式=

(a+1)(a+4)
(a-2)(a-3)
(a-2)(a-4)
(a+4)(a-4)
=
a+1
a+3

(4)原式=

2(x-3)
x-2
÷
-(x+3)(x-2)
x-2

=

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

=-

2
x+3

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