Hello! I'll be happy to explain the equation and help you understand why F(9/2) is equal to -(-15/2)(15/2) and then simplifies to 225/4.
1. Let's break down the given equation: F(9/2) = -(9/2 - 12)(9/2 + 3).
2. First, simplify the terms inside the parentheses: (9/2 - 12) = 9/2 - 24/2 = -15/2 and (9/2 + 3) = 9/2 + 6/2 = 15/2.
3. Now substitute these values back into the equation: F(9/2) = -(-15/2)(15/2).
4. When you multiply -(-15/2) by 15/2, remember that multiplying a negative by a negative gives you a positive result: -(-15/2) = 15/2.
5. So, F(9/2) simplifies to 15/2 * 15/2 = 225/4.
Therefore, F(9/2) = 225/4. This process involves simplifying the terms step by step and following the rules of arithmetic to arrive at the correct answer.
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