Question

Which of the following correctly simplifies the expression −17+5+3i−8 and expresses it in the form of a+bi ?(1 point)
Responses

−12−5i
negative 12 minus 5 i

−17
negative 17

−20+3i
negative 20 plus 3 i

−9−8i
negative 9 minus 8 i

Answer 1

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

1. Combine the real parts:
\(-17 + 5 - 8 = -17 + 5 = -12\)
\(-12 - 8 = -20\)

2. The imaginary part remains the same: \(3i\).

Putting it all together, we have:
\(-20 + 3i\).

Therefore, the correct answer is:
**−20 + 3i** (negative 20 plus 3 i).