Answer
C. (x + 2)($x^{2}$ - 2x + 4)
Work Step by Step
$x^{3}$ + 8 is a sum of cubes, for which $x^{3}$ + $y^{3}$ = (x + y)($x^{2}$ - xy + $y^{2}$), so this expression factors to $x^{3}$ + $2^{3}$ = (x + 2)($x^{2}$ - 2x + 4). We can also use FOIL to check.
