Question

Solve the question(1-2i)-²

Answer 1

(1-2i)²

= (1)²-2×1×2i+(2i)²

= 1-4i+4i²

= 1-4i+4(-1)

= 1-4i-4

= -3-4i

Answer 2

Answer:

$\frac{1}{ - 3 - 4i}$

Step-by-step explanation:

(1 - 2i) -² = 1/(1 - 2i)²

= 1/1² - 4i + 4i²

i² = i × i = √-1 × √-1 = -1

1/(1² - 4i + 4i²) = 1/(1 - 4i -4) =>

$\frac{1}{ - 3 - 4i}$