The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube? 64x6 + 144x4 + 108x2 + 27
64x6 + 48x4 + 12x2 + 1
4x6 + 36x4 + 108x2 + 27
4x6 + 12x4 +12x2 + 1

The answer is option 1.

Step-by-step explanation:

You have to substitute the expressions of s into the formula of volume :

s = 4x² + 3

V = s³

V = (4x² + 3)³

Then, you have to expand it :

V = (4x² + 3)³

V = (16x⁴ + 24x² + 9)(4x² + 3)

V = 16x⁴(4x²) + 16x⁴(3) + 24x²(4x²) +

24x²(3) + 9(4x²) + 9(3)

V = 64x⁶ + 48x⁴ + 96x⁴ + 72x² + 36x² + 27

V = 64x⁶ + 144x⁴ + 108x² + 27

c

step-by-step explanation: