The expression you provided is:

$a^3 - 2a + 1$

This is a cubic polynomial in terms of $a$. Here are a few steps we can take:

1. Factorization: For some specific values of $a$, this cubic expression might factor nicely.

2. Roots: You can solve the equation $a^3 - 2a + 1 = 0$ to find the values of $a$ where this expression equals zero. This would involve using methods for solving cubic equations.

3. Graphical Interpretation: If you plot this function, you will get the curve of a cubic function, which generally has one or three real roots.

Would you like a detailed factorization, a root analysis, or something else for this expression?

Related Questions

1. What are the roots of $a^3 - 2a + 1 = 0$?
2. Can this cubic polynomial be factored by hand?
3. How does the graph of $f(a) = a^3 - 2a + 1$ behave?
4. How can you apply the Rational Root Theorem to this polynomial?
5. How can you solve a cubic equation like this algebraically?

Tip: When solving cubic equations, start by testing small integers or use synthetic division.