Question

simplify.
(2 + 3i) - (6 + 2i)
? + i

Explanation:

Step1: Distribute the negative sign

To simplify \((2 + 3i) - (6 + 2i)\), we first distribute the negative sign to the terms inside the second parentheses. This gives us \(2 + 3i - 6 - 2i\).

Step2: Combine the real parts

Next, we combine the real parts (the terms without \(i\)): \(2 - 6 = -4\).

Step3: Combine the imaginary parts

Then, we combine the imaginary parts (the terms with \(i\)): \(3i - 2i = i\).

Step4: Combine the results

Finally, we combine the results of the real and imaginary parts to get the simplified form: \(-4 + i\).

Answer:

\(-4 + i\)