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Simplifying expressions means making them easier to work with by performing arithmetic operations and combining like terms. This process can help in solving equations more easily. Simplification often involves:

• Combining like terms, such as adding or subtracting constants and similar variables
• Using the distributive property to expand or factor expressions
• Following the order of operations to make sure calculations are done correctly

Understanding how to simplify expressions will make solving complex math problems much easier.

Parentheses are used in math to group parts of an expression that should be treated as a single unit. They indicate that the operations inside them should be done first, following the order of operations (PEMDAS):

• P stands for Parentheses, which come first
• E for Exponents (including squares and square roots)
• MD for Multiplication and Division (left to right)
• AS for Addition and Subtraction (left to right)

In the given exercise, parentheses are used to group the subtraction operation:
\textbf{\( 16.25 - (18.2 - 15.7)^2 \)}.
By solving what's inside the parentheses before everything else, we ensure the expression is simplified correctly.

Squaring a number means multiplying it by itself. The result is always a positive value. For example, squaring 3 gives 9 because \textbf{\(3 \times 3 = 9 \)}. Numbers can be squared even if they are not whole numbers, such as squaring 2.5: \textbf{\( 2.5^{2} = 2.5 \times 2.5 = 6.25\)}.
In the exercise, after solving the subtraction inside the parentheses, 2.5 is squared, resulting in 6.25: \textbf{\((18.2 - 15.7)^{2} = 2.5^{2} = 6.25 \)}. This intermediate result is then used in further calculations.

Subtraction is one of the basic arithmetic operations and is used to find the difference between two numbers. It is performed from left to right and according to the order of operations. In expressions or equations with multiple operations, subtraction usually comes after parentheses and exponents but before addition, if you're following left to right:
In the exercise:
\textbf{\( 16.25 - (18.2 - 15.7)^{2} \)}, \the subtraction inside the parentheses is performed first, yielding 2.5. After squaring this result to get 6.25, the final step involves subtracting 6.25 from 16.25: \textbf{\(16.25 - 6.25 = 10\)}. Understanding how to properly handle subtraction within the order of operations ensures you get the correct result every time.