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

Responses

−17
negative 17

−20+3i
negative 20 plus 3 i

−9−8i
negative 9 minus 8 i

−12−5i

1 answer

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

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

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

So, the simplified expression is \(-20 + 3i\).

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