Answer:
[tex] \boxed{ \bold{\sf{ { \boxed{ \sf{8 {x}^{5} + 4 {x}^{4} - 12 {x}^{2} }}}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
[tex] \sf{4 {x}^{2} (2 {x}^{3} + {x}^{2} - 3})[/tex]
Distribute 4x through the parentheses.
[tex] \dashrightarrow{ \sf{4 {x}^{2} \times \: 2 {x}^{3} + 4 {x}^{2} \times {x}^{2} - 4 {x}^{2} \times 3}}[/tex]
[tex] \dashrightarrow{ \sf{8 {x}^{5} + 4 {x}^{4} - 12 {x}^{2} }}[/tex]
Hope I helped!
Best regards! :D