To simplify the given expression \(\frac{A^6 - 1}{27}\), let's break it down step by step.

Given:
\[
\frac{A^6 - 1}{27}
\]

We recognize that \(A^6 - 1\) can be factored using the difference of cubes formula. The difference of cubes formula is:
\[
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
\]

Here, \(A^6 - 1\) can be

Learn how to simplify the expression (A^6 - 1) / 27 using the difference of cubes formula. This problem covers algebraic concepts such as factorization and cube roots. Suitable for advanced high school students.

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