Question

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

Answer 1

Answer:

$64x^{6}$ + $144x^{4}$ + $108x^{2}$ + 27

Step-by-step explanation:

Answer 2

Answer:

64$x^{6}$ + 144$x^{4}$ + 108x² + 27

Step-by-step 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