Question

Simplify the equation: (x+h)^3

Answer 1

(x+h)³ ⇒ (x+h)(x+h)(x+h)

(x+h)(x+h) = x(x+h)+h(x+h) ⇒ x² + hx + hx + h² = x² + 2hx + h²

(x+h)(x²+2hx+h²) = x(x²+2hx+h²) + h(x²+2hx+h²)
⇒ x³ + 2hx² + h²x + hx² + 2h²x + h³

x³ + 2hx² + hx² + h²x + 2h²x + h³

x³ + 3hx² + 3h²x + h³