Question

factorise x cube minus 27 y cube -64z cube minus 36 xyz​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Question :-

➠ x³ - 27y³ - 64z³ - 36xyz

Formula used :-

➪ a³ + b³ + c³ - 3abc

➭ (a + b + c) (a² + b² + c² - ab - bc - ac)

Answer :-

➠ x³ - 27y³ - 64z³ - 36xyz

➻ (x)³ + (-3y)³ + (-4z)³ - 3 × (x) × (-3y) × (-4z)

➻(x - 3y - 4z) {(x)² + (-3y)² + (-4z)² - x × (-3y) - (-3y) × (-4z) - (x) × (-4z)}

➻ (x - 3y - 4z) (x² + 9y² + 16z² + 3xy - 12yz + 4xz)

∴ The value of x³ - 27y³ - 64z³ - 36xyz is (x - 3y - 4z) (x² + 9y² + 16z² + 3xy - 12yz + 4xz)