Answer:
V = x³ + 3x² + 3x + 1 in³
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( where s is the side ) , then
V = (x + 1)³
= (x + 1)(x + 1)(x + 1) ← expand second pair using FOIL
= (x + 1)(x² + 2x + 1) ← distribute
= x³ + 2x² + x + x² + 2x + 1 ← collect like terms
= x³ + 3x² + 3x + 1
