问题 解答题
计算与化简:
(1)
3-a2
a2+2a+1
+(1-
1
a+1
)÷(1+
1
a-1
)
        
(2)(
c
ab
)2•(-
b
ac
)3÷(-
b
a
)4
答案

(1)原式=

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

=

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

=

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

=

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

=

2
(a+1)2

=

2
a2+2a+1

(2)原式=-

c2
a2b2
b3
a3c3
a4
b4

=-

a4b3c2
a5b6c3

=-

1
ab3c

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