Question

simplify.
-(3 - 3i) - (10 - 10i)
write your answer in the form a + bi.

Explanation:

Step1: Distribute the negative signs

First, distribute the negative sign in front of the first parentheses: \(-(3 - 3i)= -3 + 3i\). Then, distribute the negative sign in front of the second parentheses: \(-(10 - 10i)= -10 + 10i\).

Step2: Combine like terms

Now, combine the real parts and the imaginary parts separately. The real parts are \(-3\) and \(-10\), so \(-3 + (-10)= -13\). The imaginary parts are \(3i\) and \(10i\), so \(3i + 10i = 13i\).

Answer:

\(-13 + 13i\)