先化简,再求值.(1)[(x+2y)2-(x+y)(3x-y)-5y2]÷2x,其中x=-2,y=12.(2)x?4x2?1÷x2?3x?4x2+

2025-01-20 16:23:08
推荐回答(1个)
回答1:

(1)原式=(x2+4xy+4y2-3x2+y2-3xy+xy-5y2)÷2x
=(-2x2+2xy)÷2x
=-x+y.
把x=-2,y=

1
2
代入上式,得
2+
1
2
=
5
2

即[(x+2y)2-(x+y)(3x-y)-5y2]÷2x的值是
5
2


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

=
2
x?1

x=2
3
+1
代入上式,得
2
2
3
+1?1
=
3
3
,即
x?4
x2?1
÷
x2?3x?4
x2+2x+1
+
1
x?1
的值是
3
3