问题 解答题
先化简,再求值
x+1
x2+1
÷
(x+1)3
x4-1
-
x-3
x+1
,其中x=
3
+1
答案

x+1
x2+1
÷
(x+1)3
x4-1
-
x-3
x+1

=

x+1
x2+1
(x2+1)(x+1)(x-1)
(x+1)3
-
x-3
x+1

=

x-1
x+1
-
x-3
x+1

=

2
x+1

当x=

3
+1时,

原式=

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

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