what is the sum of $12 - 5i$ and $-3 + 4i$?

$-16 + 63i$
$9 - i$
$9 - 9i$
$15 - 9i$

Question

what is the sum of $12 - 5i$ and $-3 + 4i$?

$-16 + 63i$
$9 - i$
$9 - 9i$
$15 - 9i$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Complex Number Addition" ], "new_concepts": [], "current_concepts": [ "Complex Number Addition" ] } ## Set up the addition of the complex numbers $$ (12 - 5i) + (-3 + 4i) $$ ## Group real and imaginary parts $$ (12 - 3) + (-5 + 4)i $$ ## Simplify the expression $$ 9 - i $$

(A) $-16 + 63i$

(B) $9 - i$

(C) $9 - 9i$

(D) $15 - 9i$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Complex Number Addition" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the addition of the complex numbers

Group real and imaginary parts

Simplify the expression

Answer: