The volume of the cube is [tex](4x^{2} +3)(4x^{2} +3)(4x^{2} +3)[/tex].
To simplify this, use the FOIL method between the first two terms, and then the product and the last term:
[tex](4x^{2} +3)(4x^{2} +3)(4x^{2} +3)\\(16x^{4}+12x^{2} +12x^{2} +9)(4x^{2} +3)\\(16x^{4}+24x^{2} +9)(4x^{2} +3)\\(64x^{6}+48x^{4} +96x^{4}+72x^{2} +36x^{2}+27)\\ 64x^{6}+144x^{4}+108x^{2} +27[/tex]
The answer is the first choice.
Hope this helps!!
