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

Find the square of the complex number 2 - 2i and write the answer in the form a + bi.where a and b are real numbers.

= (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