先化简,再求值(x+2x2?2x?x?1x2?4x+4)÷x?4x,其中x=2+3

先化简,再求值(x+2x2?2x?x?1x2?4x+4)÷x?4x,其中x=2+3.
2025-04-24 08:18:59
推荐回答(1个)
回答1:

原式=(

x+2
x(x?2)
-
x?1
(x?2)2
)×
x
x?4
=
x?4
x(x?2)2
×
x
x?4
=
1
(x?2)2

当x=2+
3
时,原式=
1
(2+
3
?2)2
=
1
3

故答案为
1
3