(1)原式=(x2+4xy+4y2-3x2+y2-3xy+xy-5y2)÷2x
=(-2x2+2xy)÷2x
=-x+y.
把x=-2,y=
代入上式,得1 2
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
把x=2
+1代入上式,得
3
=2 2
+1?1
3
,即
3
3
÷x?4
x2?1
+
x2?3x?4
x2+2x+1
的值是1 x?1
.
3
3