Find the square of the complex number 2 - 2i and write the answer in the form a + bi

Question

where a and b are real numbers

Answer 1

(2 - 2 i)(2 - 2 i)
= 2 (2-2i) -2i(2-2i)
= 4 - 4i - 4 i + 4i^2
= 4 - 8 i - 4
= -8 i
a = 0
b = -1

Answer 2

sorry, b = -8

Answer 3

Thank you so much:)

Answer 4

You are welcome :)