4
AssignmentMultiple Choice

Operations with Complex Numbers

Question 4 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Which of the following is equivalent to –2i(6 – 7i)?

Answer
A
(0 – 2i)(6 – 7i)
B
(0 + 2i)(6 – 7i)
C
(–2 + i)(6 – 7i)
D
(6 – 2i) – (7i – 2i)

Explanation

The expression −2i(6 − 7i) has the factor −2i multiplied by (6 − 7i). Since −2i is the same as 0 − 2i, choice A, (0 − 2i)(6 − 7i), is equivalent. The other choices use a different first factor or a different expression.

AI-written and checked against the verified answer.

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