D ( x -2i sqrt(2)) ( x+ 2i sqrt(2))
Step-by-step explanation:
x^2 + 8
We want to factor so rewrite as squares
x^2 + (2sqrt(2))^2
Rewrite with a subtraction sign i^2 = -1
x^2 - (2*i*sqrt(2))^2
This is the difference of squares
a^2 - b^2 = ( a-b) (a+b)
( x -2i sqrt(2)) ( x+ 2i sqrt(2))