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
答
÷
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
=1+x=2008.x+x2
x
故答案为:2008.