4
QuizMultiple Choice

Performing Operations with Complex Numbers — Unit test

Question 4 • MO-Algebra II A-CR

Which expression is equivalent to (3 + 5i)2?

Answer
A
–16 + 30i
B
6 + 34i
C
–16 – 34i
D
16 + 30i

Explanation

Square the binomial: (3 + 5i)² = 3² + 2(3)(5i) + (5i)². Since i² = −1, this becomes 9 + 30i − 25 = −16 + 30i, which is choice A, “−16 + 30i.”

AI-written and checked against the verified answer.

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