Выполните действия: \(\frac{1+2i}{8-16i}+\frac{(1+2i)^2}{2+i}.\)

• \(\frac{-18}{25}+\frac{173}{50}i\)
• \(\frac{18}{25}+\frac{173}{50}i\)
• \(\frac{-18}{15}+\frac{17}{50}i\)