Question

question 3
(3 + 8i)^2=
(type your answer in the form a + bi.)
question 4
question 5
question 6
question 7
question 8
question 9
help me solve this view an example get more help
clear all check answ

Explanation:

Step1: Expand using formula $(a + b)^2=a^{2}+2ab + b^{2}$

$(3 + 8i)^{2}=3^{2}+2\times3\times8i+(8i)^{2}$

Step2: Calculate each term

$3^{2}=9$, $2\times3\times8i = 48i$, $(8i)^{2}=64i^{2}$. Since $i^{2}=- 1$, then $(8i)^{2}=64\times(-1)=-64$.

Step3: Combine like - terms

$9 + 48i-64=-55 + 48i$

Answer:

$-55 + 48i$