Final answer:
The expression πx² - y² evaluated for x = -4 and y = -5 gives a result of 25.27 (rounded to two decimal places).
Step-by-step explanation:
The student is asking to evaluate the expression πx² - y² for the given values of x and y, where x = -4 and y = -5. When substituting these values into the expression, it becomes π(-4)² - (-5)² which simplifies to 16π - 25. Since π is approximately 3.1416, we multiply 16 by 3.1416 to get 50.2656. Then we subtract 25 from this result, which gives us 25.27 (rounded to two decimal places). This is the value of the expression with the given inputs.