Mister Exam

6x2+3y2+3z2−4xy−2yz+4zx. canonical form

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3*y2 + 3*z2 + 6*x2 - 4*x*y - 2*y*z + 4*x*z = 0
$$- 4 x y + 4 x z + 6 x_{2} - 2 y z + 3 y_{2} + 3 z_{2} = 0$$
-4*x*y + 4*x*z + 6*x2 - 2*y*z + 3*y2 + 3*z2 = 0