问题
解答题
已知:(x+2)2+|y-
|
答案
原式=2xy2+2x2y-[2xy2-3+x2y]-2=2xy2+2x2y-2xy2+3-3x2y-2
=(2-2)xy2+(2-3)x2y+(3-2)=-x2y+1;
∵(x+2)2≥0,|y-
|≥0,1 2
又∵(x+2)2+|y-
|=01 2
∴x=-2,y=1 2
∴原式=-(-2)2×
+11 2
=-1.
已知:(x+2)2+|y-
|
原式=2xy2+2x2y-[2xy2-3+x2y]-2=2xy2+2x2y-2xy2+3-3x2y-2
=(2-2)xy2+(2-3)x2y+(3-2)=-x2y+1;
∵(x+2)2≥0,|y-
|≥0,1 2
又∵(x+2)2+|y-
|=01 2
∴x=-2,y=1 2
∴原式=-(-2)2×
+11 2
=-1.