13
AssignmentMultiple Choice

Operations with Complex Numbers

Question 13 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

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

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

Explanation

Square the binomial: (8 − 5i)² = 8² − 2(8)(5i) + (5i)². Since i² = −1, the last term is −25, so the result is 64 − 80i − 25 = 39 − 80i. The product is choice C.

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