## Simplifying Algebraic Expressions

In algebra, simplifying expressions means combining like terms to make the expression easier to understand and work with. Let's look at the example:

**(5a^2 - 2a + 6) + (-a - 5a^2 + 3)**

**Step 1: Identify like terms**

**a^2 terms:**5a^2 and -5a^2**a terms:**-2a and -a**Constant terms:**6 and 3

**Step 2: Combine like terms**

**a^2 terms:**5a^2 - 5a^2 = 0**a terms:**-2a - a = -3a**Constant terms:**6 + 3 = 9

**Step 3: Write the simplified expression**

The simplified expression is **-3a + 9**.

**Key points to remember:**

**Like terms:**Terms with the same variable and exponent.**Combining like terms:**Adding or subtracting the coefficients of the like terms while keeping the variable and exponent the same.**Order of operations:**Follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.

By following these steps, we can effectively simplify algebraic expressions like the one provided.