Which of the following correctly simplifies the expression −17+5+3i−8 and expresses it in the form of a+bi ?(1 point) Responses −20+3i negative 20 plus 3 i −9−8i negative 9 minus 8 i −12−5i negative 12 minus 5 i −17 negative 17

1 answer

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

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

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

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

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

So the correct answer is: −20 + 3i