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