Question

已知|x+3|+根号y-3分之1=0，求x2011次方*y2012次方的值

已知x+y=-2，求(x+y)³×(y+x)×(-x-y)的值 【×乘号】

Answer 1

(x+y)³×(y+x)×(-x-y)=(x+y)³×(y+x)×(-(x+y))=2³×2×(-2)=-32

Answer 2

解：|x+3|+√(y - 1/3)=0，这是两个非负数的和等于0，这两个非负数都等于0
x+3=0 且 y - 1/3=0
x=-3 , y=1/3

x²º¹¹×y²º¹²=x²º¹¹×y²º¹¹×y
=(xy)²º¹¹×y
=(-3×1/3)²º¹¹×1/3
=(-1)²º¹¹×1/3
=-1×1/3
=-1/3

已知x+y=-2
(x+y)³×(y+x)×(-x-y)
=(x+y)³×(x+y)×(-1)×(x+y)
=-1×(x+y)^5
=-1×(-2)^5
=-1×(-32)
=32