Answer:

Product = x³ + y³ +8z³ - 6xyz

Step-by-step explanation:

We know that,

a³ + b³ + c³ - 3abc = (a + b+ c) (a² + b² + c² - 2ab - 2bc - 2ca)

Where, a = x , b = y and, c = 2z

=> (x + y + 2z) (x² + y² + z² - 2xy - 2yz - 2zx)

= (x+y+2z) [x² + y² + (2z)² - xy - y(2z) - (2z)x]

= x³ + y³ + 8z³ - 6xyz