Multiply. Write your answer in a + bi form.
-$$( 8 + 3 i ) ( 3 + 3 i )$$
A) $33 - 15 \mathrm { i }$
B) $15 - 33 \mathrm { i }$
C) $15 + 33 \mathrm { i }$
D) $9 i ^ { 2 } + 33 i + 24$

Question

Quizplus · Accepted Answer

We can use FOIL or the distributive property to multiply the two complex numbers:
\begin{align*}
&(8+3i)(3+3i)\
=&8(3)+8(3i)+3i(3)+3i(3i)\
=&24+24i+9i+9i^2\
=&24+33i-9\
=&15+33i
\end{align*}
Therefore, the answer is choice C, written in the +bi form.

Multiply Write Your Answer in a + Bi Form (8+3i)(3+3i)( 8 + 3 i ) ( 3 + 3 i )(8+3i)(3+3i)

Multiply Write Your Answer in a + Bi Form $( 8 + 3 i ) ( 3 + 3 i )$