Question

(x+y+2z)(x^2+y^2+4z^2-xy-2yz-2zx)​

Answer 1

(x+y+2z)(x^2+y^2+4z^2-xy-2yz-2zx)

x^3 + y^3 + 8z^3 - 6xyz.

Answer 2

Answer

Hi!!! Hope this helps

Step-by-step explanation:

(x+y+2z)(x²+y²+4z²-xy-2yz-2xz)

This can be written as

(x+y+2z)(x²+y²+(2z)²- xy - y(2z) - (2z)x)

[This is in the form of (a+b+c)(a²+b²+c²-ab-bc-ca)

Which is equal to a³+b³+c³-3abc]

=x³+y³+(2z)³-3xy(2z)

=x³+y³+8z³-6xyz