Perform the indicated operation \& simplify. Express the answer in terms of \( i \) (as a complex number). \( -5 i(9-3 i)=\square \)

To simplify the expression \( -5i(9 - 3i) \), follow these steps: 1. **Distribute \( -5i \) across the terms inside the parentheses:** \[ -5i \times 9 + (-5i) \times (-3i) \] This simplifies to: \[ -45i + 15i^2 \] 2. **Recall that \( i^2 = -1 \):** \[ -45i + 15(-1) = -45i - 15 \] 3. **Combine the terms to express the result in standard form \( a + bi \):** \[ -15 - 45i \] **Final Answer:** \( -15 - 45i \)