若X2-2X+Y2-4Y+5=0,求9X2Y2-12X3Y2+4X4Y2的值

来源：学生作业学帮网编辑：学帮网时间：2024/04/20 20:19:10

X^2-2X+Y^2-4Y+5=0
(x-1)^2+(y-2)^2=0
两个非负数之和为0,那么这两个数都是0
x-1=0,y-2=0
x=1,y=2
9x^2y^2-12x^3y^2+4x^4y^2
=x^2y^2(4x^2-12x+9)
=(xy)^2 (2x-3)^2
=4*1
=4