Simplifying Algebraic Expressions: (6a  3a²) + (2a²  3a)
This article will guide you through the process of simplifying the algebraic expression (6a  3a²) + (2a²  3a).
Understanding the Concepts
Before we begin, let's refresh our understanding of a few key concepts:
 Terms: In an algebraic expression, terms are separated by addition or subtraction signs. For example, in our expression, we have four terms: 6a, 3a², 2a², and 3a.
 Like Terms: Like terms have the same variables raised to the same powers. For example, 6a and 3a are like terms because they both have the variable 'a' raised to the power of 1.
 Combining Like Terms: We can combine like terms by adding or subtracting their coefficients.
Simplifying the Expression

Identify Like Terms: In our expression, we have two sets of like terms:
 3a² and 2a²
 6a and 3a

Combine Like Terms:
 3a² + 2a² = a²
 6a  3a = 3a

Write the Simplified Expression: Combining the simplified terms, we get: a² + 3a
Conclusion
Therefore, the simplified form of the algebraic expression (6a  3a²) + (2a²  3a) is a² + 3a. Remember, always combine like terms to simplify expressions and make them easier to work with.