desarrollar c^2(Δx+c)^2

Solución

desarrollar

c^{2} (Δ x + c)^{2}

Δ^{2} c^{2} x^{2} + 2Δ c^{3} x + c^{4}

Pasos de solución

c^{2} (Δ x + c)^{2}

(Δ x + c)^{2} = Δ^{2} x^{2} + 2Δ c x + c^{2}

= c^{2} (Δ^{2} x^{2} + 2Δ c x + c^{2})

Aplicar la siguiente regla de productos notables

= c^{2} Δ^{2} x^{2} + c^{2} \cdot 2Δ c x + c^{2} c^{2}

= Δ^{2} c^{2} x^{2} + 2Δ c^{2} c x + c^{2} c^{2}

Simplificar

Δ^{2} c^{2} x^{2} + 2Δ c^{2} c x + c^{2} c^{2} : Δ^{2} c^{2} x^{2} + 2Δ c^{3} x + c^{4}

= Δ^{2} c^{2} x^{2} + 2Δ c^{3} x + c^{4}

e x p an d \frac{3 x ^{2} - 2}{x ( x - 1 )}

e x p an d lo g_{e} (1 - x)

e x p an d 5.8 sin (\frac{π}{6} (x - 2)) + 9.2

e x p an d \frac{( x + 4 ) ( x - 1 )}{x - 4}

e x p an d \frac{6 ( 1 + 2 ^{n} )}{2 + 2 ^{n}}