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Let's begin with the foundation of our exercise: basic arithmetic. Arithmetic deals with simple math operations like addition, subtraction, multiplication, and division.
When we look at the expression $$(-3 + 3) 6^{2}$$ we start with the part inside the parentheses, which is -3 + 3.
Using basic arithmetic: $$-3 + 3 = 0$$
This step is crucial because it simplifies complex expressions into smaller, manageable pieces.
Remember:

• Addition combines quantities, so -3 and +3 cancel each other out, resulting in 0.

Practicing basic arithmetic ensures you understand more advanced math concepts.

In math, the Order of Operations is essential to get the correct answer.
We use the acronym PEMDAS (or BIDMAS in some regions) to remember the order:

• P
arentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction

This means:
1. Calculate inside the Parentheses first
2. Next, handle any Exponents (powers)
3. Then, do Multiplication and Division from left to right
4. Finally, do Addition and Subtraction from left to right In our example: $$(-3 + 3) 6^{2}$$ we follow these steps:
1. Simplify the parentheses: $$-3 + 3 = 0$$
2. Substitute 0 and deal with exponents: \text{ (0) 6^{2} }
3. Finally, Multiply: $$0 \times 6^{2} = 0$$ Following the order of operations avoids mistakes and ensures accuracy.

The role of parentheses in algebra is to group parts of an expression that should be calculated first.
They simplify complex expressions by telling us which operations to perform first.
For example, in $$(-3 + 3) 6^{2}$$ the parentheses say to add -3 and 3 before handling anything else.
Once we find -3 + 3 equals 0, the expression inside the parentheses disappears, simplifying to $$0 \times 6^{2}$$ Parentheses can group multiple terms and operations, and always take precedence over other operations.
Proper use of parentheses is key:
1. Grouping terms to change the order of operations
2. Clarifying which operations to perform first
3. Organizing complex expressions correctly Always simplify expressions inside parentheses first to avoid confusion and errors. So, next time you see parentheses in an algebraic expression, remember to solve them first!

Keep practicing until you're comfortable recognizing and simplifying all parts inside parentheses.