Question

question 6
cc.2.1.hs.f.6
simplify
(4 - 12i) - (-8 + 4i).
○ 12 - 8
○ 28
○ 12 - 16i
○ 12 + 16i

Explanation:

Step1: Distribute the negative sign

To simplify \((4 - 12i)-(-8 + 4i)\), we first distribute the negative sign to the terms inside the second parentheses. This gives us \(4 - 12i + 8 - 4i\).

Step2: Combine the real parts

Next, we combine the real parts (the terms without \(i\)): \(4 + 8 = 12\).

Step3: Combine the imaginary parts

Then, we combine the imaginary parts (the terms with \(i\)): \(-12i - 4i = -16i\).

Step4: Write the simplified form

Putting the real and imaginary parts together, we get \(12 - 16i\).

Answer:

\(12 - 16i\) (corresponding to the option "12 - 16i")