Question

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

Answer 1

`64x^(6)` +
`144x^(4)` +
`108x^(2)` + 27

Explanation:

Answer 2

64
`x^(6)` + 144
`x^(4)` + 108x² + 27

Explanation:

Using the formula for volume, V = s³, then

V = (4x² + 3)³

This may be expanded as

(4x² + 3)(4x² + 3)(4x² + 3) ← expand the first 2 factors using FOIL

= (16
`x^(4)` + 24x² + 9)(4x² + 3) ← distribute by 4x² and 3

= 64
`x^(6)` +96
`x^(4)` + 36x² + 48
`x^(4)` + 72x² + 27 ← collect like terms

= 64
`x^(6)` + 144
`x^(4)` + 108x² + 27