Math, asked by sidhuraj8088, 9 months ago

factories the 27x²+y³+z³-9xyz​

Answers

Answered by kaminipandey
30

Step-by-step explanation:

27x³ + y³ + z³ – 9xyz

= (3x)³ + y³ + z³ - 3 x (3x) x y x z

By identity [a³ + b³ + c³ – 3abc = (a + b + c)[(a² + b² + c² - ab - bc - ac]

= (3x + y + z)[(3x)² + (y)² + (z)² - 3xy - yz - 3xz]

= (3x + y + z)[9x² + y² + z² - 3xy - yz - 3xz]

Similar questions