The expression \( 8a + 10a^2 \) is already in its simplest form, as it represents a polynomial. There are no like terms to combine since the terms \( 8a \) and \( 10a^2 \) have different powers of \( a \).

Here is a breakdown:
- \( 8a \) is a term with \( a \) to the first power.
- \( 10a^2 \) is a term with \( a \) to the second power.

If you want to factor this expression, the greatest common factor (GCF) between the two terms is \( 2a \).

Factoring the expression:

\[
8a + 10a^2 = 2a(4 + 5a)
\]

Would you like more details or have any questions?

Here are five related questions:
1. How do you factor a polynomial with more than two terms?
2. What is the process of finding the greatest common factor (GCF) in polynomials?
3. How can you combine like terms in a polynomial expression?
4. What happens if a polynomial expression has more than one variable?
5. What are the steps to solve a quadratic equation?

**Tip**: Always look for common factors before expanding or simplifying polynomials to make calculations easier!

Explore how to simplify and factor the polynomial expression 8a + 10a^2. This solution includes finding the greatest common factor (GCF) and expressing the result in its factored form. Ideal for students in Grades 6-8 learning about algebra and polynomial operations.

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