[tex]\sqrt{2} ^{2} x^{2} - 2*\sqrt{2}x*\sqrt{3}y +\sqrt{3} ^{2}y^{2} - 3*(x^{2} -2^{2}y^{2} )+2*(x^{2} +2*x*\sqrt{6}y+\sqrt{6} ^{2}y^{2} )\\2x^{2} -2\sqrt{6} xy+3y^{2} -3x^{2} +12y^{2} +2x^{2} +4\sqrt{6} xy+12y^{2} \\x^{2} +2\sqrt{6} xy+27y^{2}[/tex]
