Subtract the complex numbers (12−8i)−(−4+3i)

Question

.(1 point)
Responses

8−11i
8 minus 11 i

8−5i
8 minus 5 i

16−5i
16 minus 5 i

16−11i

Answer 1

To subtract the complex numbers \( (12 - 8i) - (-4 + 3i) \), we first simplify the expression:

1. Rewrite the subtraction of the second complex number: \[ (12 - 8i) - (-4 + 3i) = (12 - 8i) + (4 - 3i) \]

2. Now combine the real and imaginary parts:

   • Real part: \( 12 + 4 = 16 \)
   • Imaginary part: \( -8 - 3 = -11 \)

Therefore, the result of the subtraction is: \[ 16 - 11i \]

So the answer is \( 16 - 11i \).