Evaluate the expression ( 4 − 2 i )^ 2 and write the result in the form a + b i.

Answer 1

FOIL

(4 - 2i)(4 - 2i)

16 -8i -8i + 4i²

16 -16i +4i²

Substitute -1 for i²

16 - 16i + 4(-1)

16 - 16i - 4

12 - 16i

Answer 2

(4 - 2i)² = 4² - 2(4)(2i) + (2i)² = 16 - 16i - 4 = 12 - 16i