Subtract (7+3i)−(4−5i) (1 point) Responses 3+8i 3 plus 8 i −i negative i 3−2i 3 minus 2 i 11−2i

Answer 1

To subtract the complex numbers \( (7+3i) - (4-5i) \), we'll distribute the negative sign and then combine the real and imaginary parts.

1. Start with the expression: \[ (7 + 3i) - (4 - 5i) \]

2. Distribute the negative sign: \[ 7 + 3i - 4 + 5i \]

3. Combine the real parts and the imaginary parts:

   • Real parts: \( 7 - 4 = 3 \)
   • Imaginary parts: \( 3i + 5i = 8i \)

4. So, the result is: \[ 3 + 8i \]

Thus, the answer is \( 3 + 8i \).