Perform the desired operation. Write the answer in the form a + bi.
-$$( 5 + 2 i ) ( 5 - 2 i )$$
A) $25 - 4 \mathrm { i } ^ { 2 }$
B) $25 - 4 \mathrm { i }$
C) 29
D) 21

Name: Perform the desired operation. Write the answer in the form a + bi. -\[( 5 + 2 i ) ( 5 - 2 i )\] A) $25 - 4 \mathrm { i } ^ { 2 }$ B) $25 - 4 \mathrm { i }$ C) 29 D) 21
Brand: Quizplus
Rating: 4.8 (42 reviews)

Question

Quizplus · Accepted Answer

Multiplying the complex numbers $(5 + 2i)$ and $(5 - 2i)$ gives $25 - 10i + 10i - 4i^2$. Since $i^2 = -1$, this simplifies to $25 + 4 = 29$.

Perform the Desired Operation (5+2i)(5−2i)( 5 + 2 i ) ( 5 - 2 i )(5+2i)(5−2i)

Perform the Desired Operation $( 5 + 2 i ) ( 5 - 2 i )$