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Subtract the following complex numbers:(2 + 2i) - (14 + 16i)A.-12 + 18iB.12 + 18iC.12 - 14iD.-12 - 14iSUBMITarrow_backPREVIOUS

Question

Subtract the following complex numbers:(2 + 2i) - (14 + 16i)A.-12 + 18iB.12 + 18iC.12 - 14iD.-12 - 14iSUBMITarrow_backPREVIOUS

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Solution

To subtract complex numbers, you subtract the real parts and the imaginary parts separately.

The real parts are 2 and 14. Subtracting these gives 2 - 14 = -12.

The imaginary parts are 2i and 16i. Subtracting these gives 2i - 16i = -14i.

So, (2 + 2i) - (14 + 16i) = -12 - 14i.

Therefore, the correct answer is D. -12 - 14i.

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