14
AssignmentMultiple Choice

Performing Operations with Complex Numbers

Question 14 • Algebra III A

Multiply and simplify the product.(8 – 5i)2 Select the product.

Answer
A
39
B
89
C
39 – 80i
D
89 – 80i

Explanation

Interpret the product as (8 − 5i)², so multiply (8 − 5i)(8 − 5i). This gives 64 − 80i + 25i². Since i² = −1, the result is 64 − 25 − 80i = 39 − 80i, which is choice C.

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