The expression given is:

\[
27 + 125a^3 - 135a + 225a^2
\]

It’s already simplified as a polynomial in \( a \). Here's a breakdown of the terms in descending powers of \( a \):

\[
125a^3 + 225a^2 - 135a + 27
\]

This is a cubic polynomial because the highest power of \( a \) is 3. It cannot be simplified further unless you want to solve for specific values of \( a \).

Would you like to factor this expression or analyze it further? 

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**Follow-up questions:**
1. Would you like to factor this cubic expression?
2. Are you interested in solving this equation for specific values of \( a \)?
3. Would you like to know how to graph this polynomial?
4. Should I explain the nature of cubic polynomials in more detail?
5. Do you need to analyze the behavior of the function at specific points?

**Tip:** Always arrange polynomials in descending order of exponents for clarity and easier manipulation.

Explore how to simplify and analyze the cubic polynomial expression 125a^3 + 225a^2 - 135a + 27. Learn key algebraic concepts involving cubic functions and polynomial theory. Suitable for students in Grades 9-12.

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