Question

Пусть z+ 1/(z-2)=-2
Найдите (z-2)2 + 1/(z-2)2

Answer 1

${(z - 2)}^{2} + \frac{1}{ {(z - 2)}^{2} } = {z}^{2} - 4z + 4 + \frac{1}{ {(z - 2)}^{2} } = { - 2}^{2} - 4z + 4 = - 4z$