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

Question

Responses

−20+3i
negative 20 plus 3 i

−12−5i
negative 12 minus 5 i

−9−8i
negative 9 minus 8 i

−17

Answer 1

To simplify the expression \(-17 + 5 + 3i - 8\), we first combine the real numbers and then keep the imaginary part separate.

1. Combine the real numbers: \(-17 + 5 - 8\)

   Let's calculate that: \(-17 + 5 = -12\) and then \(-12 - 8 = -20\)

2. The imaginary part is \(3i\).

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

Thus, the expression simplifies to \(-20 + 3i\).

The correct response is: −20+3i (negative 20 plus 3 i).