Simplify the equation: (x+h) ^3

Question

Mathematics

Felipe Romero

14 April, 02:14

Simplify the equation: (x+h) ^3

+2

Answers (1)

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Trinity Acosta · 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)

⇒ x ³ + 2hx² + h²x + hx² + 2h²x + h³

x³ + 2hx² + hx² + h²x + 2h²x + h³

x³ + 3hx² + 3h²x + h³