Multiply and simplify the product.

(8 - 5i) 2

Select the product.

a. 39

b. 89

c. 39-80i

d. 89-80i

Simplifying the square of a complex binomial is done similarly to a purely real binomial, except that one was to remember the relation i² = - 1.

Solving the equation (8 - 5i) ² is done below:

Rewriting (8 - 5i) ²:

(8 - 5i) (8 - 5i) = 64 - 40i - 40i + 25i ²

Simplifying and applying i² = - 1:

64 - 80i + 25 (-1)

64 - 80i - 25

39 - 80i

From the choices, the answer is C.