Answer :
Explanation:
The question is given below as
[tex](3-4i)^2[/tex]Concept:
Apply the perfect sqaure formula below
[tex](a-b)^2=(a-b)(a-b)[/tex]By applying the concept, we will have
[tex]\begin{gathered} (3-4\imaginaryI)^2=(3-4i)(3-4i) \\ (3-4i)(3-4i)=3(3-4i)-4i(3-4i) \\ 3(3-4i)-4i(3-4i)=9-12i-12i+16i^2 \\ recall:i^2=-1 \\ 9-12i-12i+16i^2=9-24i+16(-1) \\ 9-16-24i=-7-24i \end{gathered}[/tex]Hence,
The final answer is
[tex]\begin{equation*} -7-24i \end{equation*}[/tex]