9
AssignmentMultiple Choice

Operations with Complex Numbers

Question 9 • Algebra III A

Which subtraction expression has the difference 1 + 4i?

Answer
A
(–2 + 6i) – (1 – 2i)
B
(–2 + 6i) – (–1 – 2i)
C
(3 + 5i) – (2 – i)
D
(3 + 5i) – (2 + i)

Explanation

Subtract the real and imaginary parts separately. For choice D, (3 + 5i) − (2 + i) = (3 − 2) + (5 − 1)i = 1 + 4i. Therefore, choice D, (3 + 5i) − (2 + i), has the stated difference.

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