Question

Factorise:2x^2+6y^2+8z^2-2√2xy+4√2yz-8xz

Answer 1

Answer: The answer is (-\sqrt2x+y+2\sqrt2z)(-\sqrt2x+y+2\sqrt2z).)

Step-by-step explanation:  We are given to factorise the following expression:

E=2x^2+y^2+8z^2-2\sqrt2xy+4\sqrt 2yz-8xz.

We will be using the following factorisation formula:

(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca.

We have

E=2x^2+y^2+8z^2-2\sqrt2xy+4\sqrt 2yz-8xz=(-sqrt2x)^2+y^2+(2\sqrt2z)^2+2(-\sqrt2x)y+2y(2\sqrt2z)+2(2\sqrt2z)(-\sqrt2x)=(-\sqrt2x+y+2\sqrt2z)^2=(-\sqrt2x+y+2\sqrt2z)(-\sqrt2x+y+2\sqrt2z).

Thus, the answer is (-\sqrt2x+y+2\sqrt2z)(-\sqrt2x+y+2\sqrt2z).

Answer 2

Step-by-step explanation:

please mark as brainlist answer and follow me please ❤❤❤❤❤❤❤❤