multiply and simplify the product. (8 - 5i)^2 select the product. 39 89 39 - 80i 89 - 80i done

Explanation:

Step1: Expand using formula

Use $(a - b)^2=a^{2}-2ab + b^{2}$, here $a = 8$ and $b = 5i$. So $(8 - 5i)^2=8^{2}-2\times8\times5i+(5i)^{2}$.

Step2: Calculate each term

$8^{2}=64$, $2\times8\times5i = 80i$, and $(5i)^{2}=25i^{2}$. Since $i^{2}=-1$, then $(5i)^{2}=25\times(-1)=-25$.

Step3: Combine terms

$64-80i-25=(64 - 25)-80i=39-80i$.

Answer:

39 - 80i