Question

Que expresión algebraica es: (x+y+z)³​

Answer 1

Respuesta:

$=x^3+3x^2y+3x^2z+3xy^2+3xz^2+6xyz+y^3+z^3+3yz^2+3y^2z$

Explicación paso a paso:

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

$=\left(x+y+z\right)\left(x+y+z\right)\left(x+y+z\right)$

$\mathrm{Expandir}\:\left(x+y+z\right)\left(x+y+z\right)\left(x+y+z\right):\quad x^3+3x^2y+3x^2z+3xy^2+3xz^2+6xyz$

$=x^3+3x^2y+3x^2z+3xy^2+3xz^2+6xyz+y^3+z^3+3yz^2+3y^2z$