先化简,再求值:xx+4?x2+4x+4x+4÷x2?4x?2,其中x=2sin60°-(12)-2

先化简,再求值:xx+4?x2+4x+4x+4÷x2?4x?2,其中x=2sin60°-(12)-2.
2025-04-24 08:53:58
推荐回答(1个)
回答1:

x
x+4
-
x2+4x+4
x+4
÷
x2?4
x?2

=
x
x+4
-
(x+2)2
x+4
÷
(x+2)(x?2)
x?2

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

=
x
x+4
-
x+2
x+4

=-
2
x+4

当x=2sin60°-(
1
2
-2=2×
3
2
-4=
3
-4时,
原式=-
2
3
?4+4
=-
2