Identify if the expression can be factored as sum or difference of cubes 1331a^3 - 512b^3

The answer to your question is Yes, it can be factored as difference of cubes

Step-by-step 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