最小值f(x,y)|min=-4,此时,x=0,y=2。以上x、y值都满足x²+y²≤4。
(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=[(x²+y²)-2xy][(x²+y²)+2xy]
=(x²+y²-2xy)(x²+y²+2xy)
=[x²-2(x)(y)+y²][x²+2(x)(y)+y²]
=(x-y)²(x+y)²
x方加y方的平方小于等于4x方减y方
(x方+y方)的平方-4x方y方 =[(x^2+y^2)+2xy][(x^2+y^2)-2xy] =(x+y)^2(x-y)^2