Perform the desired operation. Write the answer in the form a + bi.
-$$( 8 + 2 \mathrm { i } ) ( 6 - 6 \mathrm { i } )$$
A) $60 - 36 \mathrm { i }$
B) $- 12 i ^ { 2 } - 36 i + 48$
C) $60 + 36 i$
D) $36 + 60 \mathrm { i }$

Question

Quizplus · Accepted Answer

To multiply two complex numbers, you distribute each part of the first complex number over the second, following the rule $i^2 = -1$. So, $(8 + 2i)(6 - 6i) = 48 - 48i + 12i - 12i^2$. Since $i^2 = -1$, this simplifies to $48 - 36i + 12 = 60 - 36i$.

Perform the Desired Operation (8+2i)(6−6i)( 8 + 2 \mathrm { i } ) ( 6 - 6 \mathrm { i } )(8+2i)(6−6i)

Perform the Desired Operation $( 8 + 2 \mathrm { i } ) ( 6 - 6 \mathrm { i } )$