12
practice testMultiple Choice

Practice Test

Question 12 • Algebra 2

Which expression is equivalent to open paren 3 plus 5 i close paren squared ?

Answer
A
negative 16 plus 30 i
B
16 plus 30 i
C
6 plus 34 i
D
negative 16 minus 34 i

Explanation

Square the binomial: (3 + 5i)² = 3² + 2(3)(5i) + (5i)². Since i² = −1, this becomes 9 + 30i − 25 = −16 + 30i. The equivalent expression is negative 16 plus 30i, choice B.

AI-written and checked against the verified answer.

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