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=
|
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-
-2)=1 4
,7 2
故答案为
.7 2
先化简,再求值:2(x+y)(-y+x)-(x+y)2+(x-y)2,其中x=2,y=
|
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-
-2)=1 4
,7 2
故答案为
.7 2