问题 解答题
先化简,再求值:2(x+y)(-y+x)-(x+y)2+(x-y)2,其中x=2,y=
1
2
答案

2(x+y)(-y+x)-(x+y)2+(x-y)2

=2(x+y)(x-y)-(x+y)2+(x-y)2

=2(x2-y2)-x2-2xy-y2+x2-2xy+y2

=2(x2-y2-2xy),

∵x=2,y=

1
2
.  

∴原式=2×(4-

1
4
-2)=
7
2

故答案为

7
2

判断题
问答题 简答题