Question

factorise 8x³-27y³+z³+18xyz​

Answer 1

Answer:

Factorize 8x³ + 27y³ + z³ - 18xyz.

Good question,

Here is your perfect answer!

= 8x³ + 27y³ + z³ - 18xyz

= (2x)³ + (3y)³ + z³ - 3(2x)(3y)(z)

By using identity,

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

= (2x + 3y + z) [(2x)² + (3y)² + z² - 2x*3y - 3y*z - 2x*z).

= (2x + 3y + z) (4x² + 9y² + z² - 6xy - 3yz - 2zx).