Final answer:
The given expression 7³ - 1 can be factored completely as (7 - 1)(7² + 7 + 1) which simplifies to 342.
Step-by-step explanation:
The given expression is 7³ - 1.
Using the formula for difference of cubes, we can rewrite it as (7 - 1)(7² + 7 + 1).
Simplifying further, we get (6)(49 + 7 + 1) = (6)(57) = 342.
Learn more about Factoring using sum or difference of cubes