Perform the indicated operation and simplify. Write the result in the form a + bi.
-$$( 8 + 4 i ) ( 8 - 4 i )$$
A) 48
B) 80
C) $64 - 16 i$
D) $64 - 16 i ^ { 2 }$

Question

Quizplus · Accepted Answer

The multiplication of the given complex numbers $(8 + 4i)(8 - 4i)$ results in $64 - 32i + 32i - 16i^2$. Since $i^2 = -1$, the expression simplifies to $64 + 16$, which equals 80.

Perform the Indicated Operation and Simplify (8+4i)(8−4i)( 8 + 4 i ) ( 8 - 4 i )(8+4i)(8−4i)

Perform the Indicated Operation and Simplify $( 8 + 4 i ) ( 8 - 4 i )$