问题 解答题
(1)先化简,再求值3(2x2y-xy2)-(5x2y-4xy2),其中x,y满足|x+2|+(y-
1
2
)2=0

(2)已知多形式A,B,其中A=x2-2x+1,小马在计算A+B时,由于粗心把A+B看成了A-B求得结果为-3x2-2x-1,请你帮小马算出A+B的正确结果.
答案

(1)原式=6x2y-3xy2-5x2y+4xy2=x2y+xy2

∵|x+2|+(y-

1
2
2=0,

∴x+2=0,y-

1
2
=0,即x=-2,y=
1
2

则原式=(-2)2×

1
2
+(-2)×(
1
2
2=2-
1
2
=1
1
2

(2)由题意知:B=(x2-2x+1)-(-3x2-2x-1)=x2-2x+1+3x2+2x+1=4x2+2,

则A+B=(x2-2x+1)+(4x2+2)=x2-2x+1+4x2+2=5x2-2x+3.

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