Which of the following correctly simplifies the expression −17+5+3i−8 and expresses it in the form of a+bi ?

Answer 1

To simplify the expression \( -17 + 5 + 3i - 8 \), we will combine the real parts and the imaginary parts separately.

1. Combine the real numbers: \[ -17 + 5 - 8 = -17 + 5 = -12 \quad \text{then} \quad -12 - 8 = -20 \]

2. The imaginary part remains as: \[ 3i \]

Now, putting it all together, we have: \[ -20 + 3i \]

Thus, the expression in the form \( a + bi \) is: \[ \boxed{-20 + 3i} \]