Factorize:

x⁶ – 729

We know that,

a³ - b³ = (a - b) (a² + a × b + b²)

Using this formula, we get

= x (1 – 8y³)

= x [(1)³ – (2y)³]

= x (1 – 2y) [(1)² + 1 (2y) + (2y)²]

= x (1 – 2y) (1 + 2y + 4y²)