问题 解答题

化简求值:若(x+3)2+|y-2|=0,求代数式x2y-[2xy2-2(xy2-x2y)+x2y]的值.

答案

x2y-[2xy2-2(xy2-x2y)+x2y]

=x2y-(2xy2-2xy2+2x2y+x2y)

=x2y-2xy2+2xy2-2x2y-x2y

=-2x2y,

∵(x+3)2+|y-2|=0,

∴x+3=0且y-2=0,

解得:x=-3,y=2,

则当x=-3,y=2时,原式=-2×9×2=-36.

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