## Simplifying Algebraic Expressions: A Step-by-Step Guide

This article will guide you through simplifying the algebraic expression **(5a² - 4) + (a² - 2a + 12) + (4a² - 6a + 8)**. We'll break down the process into easy-to-follow steps.

### 1. Identify Like Terms

Before we start combining terms, let's identify the like terms within the expression:

**a² terms:**5a², a², 4a²**a terms:**-2a, -6a**Constant terms:**-4, 12, 8

### 2. Combine Like Terms

Now, we'll add the coefficients of the like terms:

**a² terms:**5a² + a² + 4a² =**10a²****a terms:**-2a - 6a =**-8a****Constant terms:**-4 + 12 + 8 =**16**

### 3. Write the Simplified Expression

Finally, we combine the simplified terms to get the simplified expression:

**10a² - 8a + 16**

### Conclusion

By following these steps, we have successfully simplified the algebraic expression **(5a² - 4) + (a² - 2a + 12) + (4a² - 6a + 8)** to **10a² - 8a + 16**. Remember, the key to simplifying algebraic expressions is to identify and combine like terms.