已知x+y=2,x-y=1/2,则分式2x2-2y2x2+2xy+y2的值是 _ .
问题描述:
已知x+y=2,x-y=
,则分式1 2
的值是 ___ .2x2-2y2
x2+2xy+y2
答
原式=
2(x+y)(x-y) (x+y)2
=
,2(x-y) x+y
当x+y=2,x-y=
时,1 2
原式=
=2×
1 2 2
.1 2
故答案为:
.1 2