Question

subtract.
(-4 + 4i) - (-6 + 6i)
write your answer as a complex number in standard form.

Explanation:

Step1: Distribute the negative sign

To subtract the complex numbers \((-4 + 4i)-(-6 + 6i)\), we first distribute the negative sign to the terms inside the second parentheses. This gives us \(-4 + 4i + 6 - 6i\).

Step2: Combine the real parts and the imaginary parts

Next, we combine the real parts (\(-4\) and \(6\)) and the imaginary parts (\(4i\) and \(-6i\)) separately.
For the real parts: \(-4 + 6 = 2\).
For the imaginary parts: \(4i-6i=-2i\).

Step3: Write the result in standard form

Combining the results from the real and imaginary parts, we get the complex number in standard form \(2 - 2i\).

Answer:

\(2 - 2i\)