Question

question 1 of 10
subtract the following complex numbers:
(2 + 2i) - (14 + 16i)

a. -12 - 14i
b. 12 - 14i
c. 12 + 18i
d. -12 + 18i

Explanation:

Step1: Distribute the subtraction

To subtract the complex numbers \((2 + 2i)-(14 + 16i)\), we distribute the subtraction sign to both terms in the second complex number: \(2 + 2i - 14 - 16i\).

Step2: Combine the real parts and the imaginary parts

For the real parts: \(2-14=-12\).
For the imaginary parts: \(2i - 16i=(2 - 16)i=-14i\).

Step3: Combine the results

Combining the real and imaginary parts, we get \(-12-14i\).

Answer:

A. -12 - 14i