Question

Fectorize 1+y³+8z³-6yz​

Answer 1

Answer:

the answer will be 1+y3+8z3-6yz because if we break the variables in to their power so we will get the same answer and addition is only possible for like terms

Answer 2

Answer:

$(1+y+2z)(1+y^2+4z^2-y-2yz-2z)$

Step-by-step explanation:

Given :

1+y³+8z³-6yz​

Solution:

$1 + y^3+8z^3-6yz$

$= (1)^3 + (y)^3 + (2z)^3 - 6xyz\\\\\\As~we~know:\\\\x^3+y^3+z^3-3xyz = (x+y+z)(x^2+y^2+z^2-xy-yz-zx)\\\\\\\\\\Hence,\\\\\\= (1)^3 + (y)^3 + (2z)^3 - 6xyz\\\\\\= (1+y+2z)[(1)^2+(y)^2+(2z)^2-(1*y)-(y*2z)-(2z*1)\\\\\\= (1+y+2z)(1+y^2+4z^2-y-2yz-2z)$

Answer: $(1+y+2z)(1+y^2+4z^2-y-2yz-2z)$

Hope it helps :)

Pls mark me brainliest