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

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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

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