问题 解答题
阅读下列题目的计算过程:
x-3
x2-1
-
2
1+x
=
x-3
(x+1)(x-1)
-
2(x-1)
(x+1)(x-1)
(A)
=x-3-2(x-1)(B)
=x-3-2x+2(C)
=-x-1.(D)
(1)上述计算过程,从哪一步开始出现错误请写出其代号______.
(2)错误的原因:______.
(3)本题正确的结果为______.
答案

(1)B,

(2)错用分式运算法则(去“分母”),

(3)

x-3
x2-1
-
2
1+x
=
x-3
(x+1)(x-1)
-
2(x-1)
(x+1)(x-1)
=
x-3-2(x-1)
(x+1)(x-1)
=-
1
x-1

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