问题 填空题
化简
(1)
x-1
x
÷(x-
1
x

(2)
3x-3
x2-1
÷
3x
x+1
-
1
x-1
答案

(1)原式=

x-1
x
÷(
x2-1
x

=

x-1
x
×
x
(x-1)(x+1)

=

1
x+1

(2)原式=

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

=

1
x
-
1
x-1

=

x-1
x(x-1)
-
x
x(x-1)

=

-1
x(x-1)

=-

1
x2-x

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