open paren 4 g plus 2 close paren times open paren 16 g squared plus 8 g minus 4 close paren
B
open paren 4 g plus 2 close paren times open paren 16 g squared plus 8 g plus 4 close paren
C
open paren 4 g plus 2 close paren times open paren 16 g squared minus 8 g plus 4 close paren
D
open paren 4 g plus 2 close paren times open paren 16 g squared minus 8 g minus 4 close paren
Explanation
Use the sum of cubes formula: a³ + b³ = (a + b)(a² − ab + b²). Here, 64g³ + 8 = (4g)³ + 2³, so it factors as (4g + 2)(16g² − 8g + 4). This matches choice D.
AI-written and checked against the verified answer.