Question

add.

$(6 - 2i) + (3 - 3i)$

write your answer as a complex number in standard form.

Explanation:

Step1: Combine real parts

Add the real parts \(6\) and \(3\). So, \(6 + 3=9\).

Step2: Combine imaginary parts

Add the imaginary parts \(-2i\) and \(-3i\). Using the rule for adding like terms, \(-2i-3i = (-2 - 3)i=-5i\).

Step3: Form the complex number

Combine the results from step 1 and step 2. The complex number in standard form \(a + bi\) is \(9-5i\).

Answer:

\(9 - 5i\)