Multiply. Write your answer in a + bi form.
-$$( 8 + 5 i ) ( 6 - 4 i )$$
A) $- 20 i ^ { 2 } - 2 i + 48$
B) $68 - 2 \mathrm { i }$
C) $68 + 2 i$
D) $28 + 62 \mathrm { i }$

Question

Quizplus · Accepted Answer

To multiply two complex numbers, you apply the distributive property (FOIL method). For $(8 + 5i)(6 - 4i)$, you get: $8*6 + 8*(-4i) + 5i*6 + 5i*(-4i) = 48 - 32i + 30i - 20i^2$. Since $i^2 = -1$, the expression simplifies to $48 - 2i + 20$, which equals $68 - 2i$.

Multiply Write Your Answer in a + Bi Form (8+5i)(6−4i)( 8 + 5 i ) ( 6 - 4 i )(8+5i)(6−4i)

Multiply Write Your Answer in a + Bi Form $( 8 + 5 i ) ( 6 - 4 i )$