54
QuizMultiple Choice

N/A — Exam

Question 54 • Mathematics II

Which expression is equivalent to open paren 4 plus 7 i close paren times open paren 3 plus 4 i close paren ?

Answer
A
12 minus 28 i
B
negative 16 plus 37 i
C
37 plus 16 i
D
16 minus 37 i

Explanation

Distribute the factors: (4 + 7i)(3 + 4i) = 12 + 16i + 21i + 28i². Since i² = −1, this becomes 12 + 37i − 28 = −16 + 37i. The equivalent expression is negative 16 plus 37i, choice B.

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