问题 解答题
计算:
2x-6
x-2
÷(
5
x-2
-x-2)
答案

原式=

2x-6
x-2
÷[
5
x-2
-(x+2)]

=

2(x-3)
x-2
÷[
5
x-2
-
(x+2)(x-2)
x-2
]

=

2(x-3)
x-2
÷
5-(x2-4)
x-2

=

2(x-3)
x-2
÷
9-x2
x-2

=

2(x-3)
x-2
x-2
(3+x)(3-x)

=2(x-3)•

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

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