问题 解答题

已知:(x+2)2+|y+1|=0,求5xy2-2xy2-[3xy2-(4xy2-2x2y)]的值.

答案

∵(x+2)2+|y+1|=0,

∴x+2=0,y+1=0,

解得x=-2,y=-1,

∵5xy2-2xy2-[3xy2-(4xy2-2x2y)],

=5xy2-2xy2-[3xy2-(4xy2-2x2y)],

=3xy2-3xy2+(4xy2-2x2y),

=4xy2-2x2y,

当x=-2,y=-1时,原式=4xy2-2x2y,

=4×(-2)×(-1)2-2×(-2)2(-1),

=0.

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