Question

question 2 of 10
subtract the following complex numbers:
(3 + 3i) - (13 + 15i)

a. -10 + 18i
b. 10 - 12i
c. 10 + 18i
d. -10 - 12i

Explanation:

Step1: Distribute the subtraction

To subtract the complex numbers \((3 + 3i)-(13 + 15i)\), we distribute the subtraction sign to both terms inside the second complex number:
\(3 + 3i-13 - 15i\)

Step2: Combine the real parts and the imaginary parts

For the real parts: \(3-13=-10\)
For the imaginary parts: \(3i - 15i=(3 - 15)i=-12i\)

Step3: Combine the results

Combining the real and imaginary parts, we get: \(-10-12i\)

Answer:

D. \(-10 - 12i\)