lo7rNickineb lo7rNickineb

04-08-2016
Mathematics

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Simplify the equation: (x+h)^3

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meerkat18 meerkat18

06-08-2016

(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

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