Question

6. xyz - 2z; find the cube of​

Answer 1

Answer:

x³y³z³ - 6x²y²z³ + 12xyz³ - 8z³

Step-by-step explanation:

Take xyz = a and 2z = b

∴ From formula ,

( a - b ) ³ = a³ - 3a²b + 3ab² - b³

∴ (xyz - 2z)³ = (xyz)³ - 3(xyz)²(2z) + 3 (xyz) (2z)² - (2z)³

                   =  x³y³z³ - 3 (2x²y²z³) + 3 (4xyz³) - 8z³

                   = x³y³z³ - 6x²y²z³ + 12xyz³ - 8z³