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Subtract the following complex numbers:(11 - 9i) - (15 - 12i)A.-4 - 21iB.-4 + 3iC.4 + 3iD.4 - 21iSUBMITarrow_backPREVIOUS

Question

Subtract the following complex numbers:

(11 - 9i) - (15 - 12i)

A. 421i-4 - 21i
B. 4+3i-4 + 3i
C. 4+3i4 + 3i
D. 421i4 - 21i

SUBMIT

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Solution

To subtract complex numbers, you subtract the real parts and the imaginary parts separately. Here's how you do it:

  1. Identify the real and imaginary parts of the complex numbers. In (11 - 9i), 11 is the real part and -9i is the imaginary part. In (15 - 12i), 15 is the real part and -12i is the imaginary part.

  2. Subtract the real parts: 11 - 15 = -4

  3. Subtract the imaginary parts: -9i - (-12i) = -9i + 12i = 3i

So, (11 - 9i) - (15 - 12i) = -4 + 3i

Therefore, the answer is B. -4 + 3i.

This problem has been solved

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