Evaluate each expression for p = -4, q = 8, and r = -10. See Example 6. -(p + 2)² - 3r—————— 2 - q

Substitution is the process of replacing variables in an expression with their corresponding values. In this question, we substitute p, q, and r with -4, 8, and -10, respectively. This step is crucial for simplifying the expression and obtaining a numerical result.

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed. Commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), it ensures that expressions are evaluated correctly. Following this order is essential for accurately solving the given expression.

Evaluating expressions involves calculating the value of an expression after substituting the variables with specific numbers. This includes performing arithmetic operations as dictated by the order of operations. In this case, evaluating the expression will yield a final numerical result based on the substituted values of p, q, and r.