先化简,再求值:1+mm2+m?2÷(m-2+3m+2),其中m=3+1

先化简,再求值:1+mm2+m?2÷(m-2+3m+2),其中m=3+1.
2025-05-13 12:49:56
推荐回答(1个)
回答(1):

原式=

1+m
(m+2)(m?1)
÷(
m2?4
m+2
+
3
m+2
),
=
1+m
(m+2)(m?1)
÷
(m+1)(m?1)
m+2

=
1+m
(m+2)(m?1)
?
m+2
(m+1)(m?1)

=
1
(m?1)2

把m=
3
+1代入上式:原式=
1
(
3
+1?1)
2
=
1
3