Question

The side length, s, of a cube is 4x^2+3. If V=s^3, what is the volume of the cube?

Answer 1

The volume of the cube is
`(4x^(2) +3)(4x^(2) +3)(4x^(2) +3)`.

To simplify this, use the FOIL method between the first two terms, and then the product and the last term:

`(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`

The answer is the first choice.

Hope this helps!!