7
AssignmentMultiple Choice

Performing Operations with Complex Numbers

Question 7 • Algebra III A

Subtract (3 + 2i) from (–9 – 8i).

Answer
A
–17 – 5i
B
–6 – 6i
C
–12 – 10i
D
12 + 10i

Explanation

Subtract by changing the signs of the number being subtracted: (−9 − 8i) − (3 + 2i) = −9 − 8i − 3 − 2i. Combine real parts and imaginary parts separately: (−9 − 3) + (−8i − 2i) = −12 − 10i. The correct choice is C, −12 − 10i.

AI-written and checked against the verified answer.

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