Question

simplify.
(4 + 4i) + (-5 - i)
write your answer in the form a + bi.

Explanation:

Step1: Combine real parts

To simplify the expression \((4 + 4i)+(-5 - i)\), we first combine the real parts (the terms without \(i\)). The real parts are \(4\) and \(-5\). So we calculate \(4+(-5)\).
\(4+(-5)=4 - 5=-1\)

Step2: Combine imaginary parts

Next, we combine the imaginary parts (the terms with \(i\)). The imaginary parts are \(4i\) and \(-i\). So we calculate \(4i+(-i)\).
\(4i+(-i)=4i - i = 3i\)

Step3: Combine results

Now we combine the results from the real and imaginary parts to get the simplified form in \(a + bi\) form.
\(-1+3i\)

Answer:

\(-1 + 3i\)