Answer:
The answer to your question is Yes, it can be factored as difference of cubes
Explanation:
Data
1331a³ - 512b³
Process
1.- Check if 1331 has a exact cubic root
∛1331 = 11
2.- Check if 512 has a exact cubic root
∛512 = 8
3.- Conclusion
This expression can be factored as a difference of cubes
4.- Result
1331a³ - 512b³ = (11a - 8b)(11²a² + (11a)(8b) + 8²b²)
= (11a - 8b)(121a² + 88ab + 64b²