Asked by yeslian c
Subtract the complex numbers (12−8i)−(−4+3i)
.(1 point)
Responses
8−11i
8 minus 11 i
8−5i
8 minus 5 i
16−5i
16 minus 5 i
16−11i
.(1 point)
Responses
8−11i
8 minus 11 i
8−5i
8 minus 5 i
16−5i
16 minus 5 i
16−11i
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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 \( 16 - 11i \).
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 \( 16 - 11i \).
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