To factor 8 - 27x⁶ ,
use the form a³ - b³ = a² + ab + b²,
where here "a" is "2" and "b" is 3x², to get:
8 - 27x⁶ = (2 - 3x²)[2² + (2)(3x²) + (3x²)²],
8 - 27x⁶ = (2 - 3x²)(4 + 6x² + 9x⁴).

No more factoring is possible.

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