4x2+3y2+z2−8xy−6yz+4zx=x2+y2+z2−2xy−2yz+2zx+3x2+2y2−6xy−4yz=(x−y+z)2+2(x2+y2−2xy)+x2−2xy−4yz=(x−y+z)2+2(x−y)2+x2−2xy−4yz4x^2+3y^2+z^2-8xy-6yz+4zx\\ =x^2+y^2+z^2-2xy-2yz+2zx+3x^2+2y^2-6xy-4yz\\ =(x-y+z)^2+2(x^2+y^2-2xy)+x^2-2xy-4yz\\ =(x-y+z)^2+2(x-y)^2+x^2-2xy-4yz4x2+3y2+z2−8xy−6yz+4zx=x2+y2+z2−2xy−2yz+2zx+3x2+2y2−6xy−4yz=(x−y+z)2+2(x2+y2−2xy)+x2−2xy−4yz=(x−y+z)2+2(x−y)2+x2−2xy−4yz
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