Question

Factorise x cube +216y cube +8z cube - 36xyz

Answer 1

Answer:

hope the pic will successfully help u out

from a brainly one.....

Answer 2

Solution:

x³ + 216y³ + 8z³ - 36xyz

= ( x )³ + ( 6y )³ + ( 2z )³ - 3 × x × 6y × 2z

= ( x + 6y + 2z ) { ( x )² + ( 6y )² + ( 2z )² - x × 6y - 6y × 2z - 2z × x }

= ( x + 6y + 2z ) ( x² + 36y² + 4z² - 6xy - 12yz - 2xz )

Additional information:

• ( a + b )² = a² + b² + 2ab

• ( a - b )² = a² + b² - 2ab

• ( a² - b² ) = ( a + b ) ( a - b )

• a³ + b³ = ( a + b ) ( a ² + b² - ab )

• a³ - b³ = ( a - b ) ( a² + b² + ab )

• ( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca

• ( a - b )³ = a³ - b³ - 3ab ( a - b )

• ( a + b )³ = a³ + b³ + 3ab ( a + b )