Question

2 X square + Y square + 8 z square - 2 root 2 X Y + 4 root 2 Y Z - 8 x z

Answer 1

Hi
please find the attachment for solution

Answer 2

Answer:

Step-by-step explanation:

The given equation is:

$2x^2+y^2+8z^2-2\sqrt{2}xy+4\sqrt{2}yz-8xz$

=$(\sqrt{2})^{2}x^2+y^2+(2\sqrt{2})^{2}z^2-2\sqrt{2}xy+4\sqrt{2}yz-8xz$

=$(-\sqrt{2}x)^{2}+y^2+(2\sqrt{2}z)^{2}+2(-\sqrt{2}x)y+2y(2\sqrt{2}z)+2(2\sqrt{2}z)(-\sqrt{2}x)$

=$(-\sqrt{2}x+y+2\sqrt{2}z)^{2}$

which is the required answer.