问题 解答题

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

答案

解:∵(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),

=6

单项选择题
单项选择题