Question

add.
(6 - 6i) + (-2i)
write your answer as a complex number in standard form.

Explanation:

Step1: Identify real and imaginary parts

The complex number addition involves combining real parts and imaginary parts separately. The first complex number is \(6 - 6i\) (real part \(6\), imaginary part \(-6i\)) and the second is \(-2i\) (real part \(0\), imaginary part \(-2i\)).

Step2: Combine real parts

Real parts: \(6 + 0 = 6\)

Step3: Combine imaginary parts

Imaginary parts: \(-6i + (-2i) = -8i\)

Step4: Write in standard form

Standard form of a complex number is \(a + bi\), so combining real and imaginary parts gives \(6 - 8i\).

Answer:

\(6 - 8i\)