|m+2|+n²-8x+16=0|m+2|+(n-4)²=0m+2=0,n-4=0得m=-2,n=4则(x²+y²)-(mxy+n)=x²+y²+2xy-4=(x²+2xy+y²)-4=(x+y)²-2²=(x+y+2)(x+y-2)