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.