题目内容

m=-
1
6
时,代数式
21-5m
m2-9
-
m
m2-9
÷
m
m+3
-
m-3
m+3
的值是(  )
A.-1B.-
1
2
C.
1
2
D.1
21-5m
m2-9
-
m
m2-9
÷
m
m+3
-
m-3
m+3

=
21-5m
m2-9
-
m
(m+3)(m-3)
×
m+3
m
-
m-3
m+3

=
21-5m
m2-9
-
1
m-3
-
m-3
m+3

=
21-5m
(m+3)(m-3)
-
m-3
(m+3)(m-3)
-
(m-3)(m-3)
(m+3)(m-3)

=
21-5m-m-3-m2+6m-9
(m+3)(m-3)

=
9-m2
(m+3)(m-3)

=
9-m2
m2-9

=-1.
故选A.
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