Question

Factorise. 2x² + y² 8z² - 2√2 xy +4√2yz- 8xz​

Answer 1

Answer:

(-√2x+y+2√2z)^2

Step-by-step explanation:

2x² + y² 8z² - 2√2 xy +4√2yz- 8xz

=>(-√2x)^2+(y)^2+(2√2z)^2+2*(-√2x)*y+2*(y)*(2√2z)

+2*(2√2z)*(-√2x)

=>(-√2x+y+2√2z)^2

We get our this result as per the following formula-

${(x + y + z)}^{2} = {x }^{2} + {y}^{2} + {z}^{2} + 2xy + 2yz + 2zx$