Question

(3x+y+z) (9x² + y² + z²-3xy-yz - 3xz)​

Answer 1

Answer:

$27x^{3}+y^{3}+z^{3}-9xyz+9x{2}z$

Step-by-step explanation:

$3x(9x^{2}+y^{2}+z^{2}-3xy-yz-3xz)+y(9x^{2}+y^{2}+z^{2}-3xy-yz-3xz)+z(9x^{2}+y^{2}+z^{2}-3xy-yz-3xz)$

$=27x^{3}+3xy^{2}+3xz^{2}-9x^{2}y-3xyz+9x^{2}y+y^{3}+yz^{2}-3xy^{2}-y^{2}z-3xyz+9x^{2}z+y^{2}z+z^{3}-3xyz-yz^{2}-3xz^{2}$

=$27x^{3}+y^{3}+z^{3}-9xyz+9x{2}z$