lo7rNickineb
lo7rNickineb
04-08-2016
Mathematics
contestada
Simplify the equation: (x+h)^3
Respuesta :
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)
⇒
x
³ + 2hx² + h²x + hx² + 2h²x + h³
x³ + 2hx² + hx² + h²x + 2h²x + h³
x³ + 3hx² + 3h²x + h³
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