解:(1)原式=6x
2y-3xy
2-5x
2y+4xy
2=x
2y+xy
2,
∵|x+2|+(y-
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)
2=0,
∴x+2=0,y-
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=0,即x=-2,y=
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,
则原式=(-2)
2×
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+(-2)×(
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)
2=2-
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=1
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;
(2)由题意知:B=(x
2-2x+1)-(-3x
2-2x-1)=x
2-2x+1+3x
2+2x+1=4x
2+2,
则A+B=(x
2-2x+1)+(4x
2+2)=x
2-2x+1+4x
2+2=5x
2-2x+3.
分析:(1)原式去括号合并得到最简结果,由非负数的性质求出x与y的值,代入计算即可求出值;
(2)由减数=被减数-差求出B,将A与B代入A+B中,去括号合并即可得到结果.
点评:此题考查了整式的加减-化简求值,以及非负数的性质,涉及的知识有:去括号法则,以及合并同类项法则,熟练掌握运算法则是解本题的关键.