vector{z}=x-iy
z^2=x^2+2xy+i^2y^2=x^2-y^2+2i*xy
[m]\frac{z^2}{\vec{z}}=\frac{x^2-y^2+2i\cdot xy}{x-iy}=\frac{(x^2-y^2+2i\cdot xy)(x+iy)}{(x-iy)(x+iy)}=\frac{x^3-3xy^2+i(3x^2y-y^3)}{x^2+y^2}[/m]
[m]Im{\frac{z^2}{\vec{z}}}=\frac{3x^2y-y^3}{x^2+y^2}[/m]
О т в е т. 1)