已知:(x+2)²+|x+y-10|=0,求3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy的值

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已知:(x+2)²+|x+y-10|=0,求3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy的值
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已知:(x+2)²+|x+y-10|=0,求3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy的值
已知:(x+2)²+|x+y-10|=0,求3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy的值

已知:(x+2)²+|x+y-10|=0,求3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy的值
(x+2)²+|x+y-10|=0
x+2=0
x+y-10=0
x=-2
y=12
3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy
=3x²y-(5x²y-2xy+x²y-2x²)-xy
=3x²y-(6x²y-2xy-2x²)-xy
=3x²y-6x²y+2xy+2x²+xy
=-x²y+3xy+2x²
=-4*12+3*(-2)*12+2*4
=-48-72+8
=-102

x=-2,y=10-x=12,3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy=-3x²y+xy+2x²=-160

请问是(x+2)²+|x+y-10|=0,求3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy在
这个算式吗?

非负数性质。必然同时为0.
可得x=-2,代入后面式子可得y=12
然后,去括号,合并得2x²-2x²y+xy=-112

因为:(x+2)²+|x+y-10|=0
所以:x+2=0 ,x+y-10=0
x=-2 , y=12
3x²y-[5x²y-﹙2xy-x²y﹚-2x²]-xy=3x²y-[5x²y-2xy+x²y-2x²]-xy=3x²y-5x²y+2xy-x²y+2x²-xy=-3x²y+xy+2x²=-3*4*12+(-3)*12+2*4=-144-36+8=-172