Question

resolver (2x^3+3y)^3​

Answer 1

$La\:respuesta\:es$ ⇒$8x^9+36x^6y+54x^3y^2+27y^3$

$Veamos\:los\:pasos$

$\left(2x^3+3y\right)^3$

$\mathrm{Podemos\:aplicar\:la\:formula\:del\:binomio\:al\:cubo\:que\:es}:\quad \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3$

$\left(2x^3+3y\right)^3= \left(2x^3\right)^3+3\left(2x^3\right)^2\cdot \:3y+3\cdot \:2x^3\left(3y\right)^2+\left(3y\right)^3$

$Podemos\:simplificar\:: \left(2x^3\right)^3+3\left(2x^3\right)^2\cdot \:3y+3\cdot \:2x^3\left(3y\right)^2+\left(3y\right)^3: 8x^{9} +36x^{6} y+54x^{3} y^{2} + 27y^{3}$

$=8x^9+36x^6y+54x^3y^2+27y^3$

$Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)$