已知x=2007,y=2008,则x2+2xy+y25x2−4xy÷x+y/5x−4y+x2−yx=_.

问题描述:

已知x=2007,y=2008,则

x2+2xy+y2
5x2−4xy
÷
x+y
5x−4y
+
x2−y
x
=______.

x2+2xy+y2
5x2−4xy
÷
x+y
5x−4y
+
x2−y
x
=
(x+y)2
x(5x−4y)
×
5x−4y
x+y
+
x2−y
x
=
x+y
x
+
x2−y
x
=
x+x2
x
=1+x=2008.
故答案为:2008.