Factorize: x 6

We know that, a 3 - b 3 = (a - b) (a 2 + a × b + b 2 ) Using this formula, we get = x (1 – 8y 3 ) = x [(1) 3 – (2y) 3 ] = x (1 – 2y) [(1) 2 + 1 (2y) + (2y) 2 ] = x (1 – 2y) (1 + 2y + 4y 2 )

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)

Factorize:x6 – 729

Factorize:
x⁶ – 729