What is the product of open paren 3 plus 5 i close paren and open paren 2 minus 6 i close paren ?
Answer
A
6 minus 30 i
B
negative 24 minus 8 i
C
negative 24 minus 28 i
D
36 minus 8 i
Explanation
Multiply the terms: (3 + 5i)(2 − 6i) = 6 − 18i + 10i − 30i². Since i² = −1, the real part becomes 6 + 30 = 36, and the imaginary part is −8i, giving 36 − 8i, choice D.
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