先化简,再求值:m+1/2m2−2m•(2m/m+1)2−(1/m−1−1/m+1),其中m=2.
问题描述:
先化简,再求值:
•(m+1 2m2−2m
)2−(2m m+1
−1 m−1
),其中m=2. 1 m+1
答
原式=
•m+1 2m(m−1)
-4m2
(m+1)2
m+1−m+1 (m+1)(m−1)
=
-2m (m−1)(m+1)
2 (m+1)(m−1)
=
2m−2 (m+1)(m−1)
=
,2 m+1
当m=2时,原式=
=2 2+1
.2 3