先化简代数式(1x?1+1x+1)÷x2x2?1,在从你喜欢的数中选一个恰当的值,代入求出代数式的值

2025-05-21 00:13:02
推荐回答(1个)
回答1:

1
x?1
+
1
x+1
)÷
x2
x2?1

=
x+1+x?1
(x+1)(x?1)
÷
x2
(x+1)(x?1)

=
2x
(x+1)(x?1)
?
(x+1)(x?1)
x2

=
2
x

要使分式有意义,则(x+1)(x-1)≠0,x2≠0,
解得x≠±1,x≠0,
所以,取x=2,则原式=
2
2
=1.