what is the value of $(-3 + 3i) + (-2 + 3i)$?

$\bigcirc$ $-5 - 6i$
$\bigcirc$ $-5 + 6i$
$\bigcirc$ $5 + 6i$
$\bigcirc$ $5 - 6i$

Question

what is the value of $(-3 + 3i) + (-2 + 3i)$?

$\bigcirc$ $-5 - 6i$
$\bigcirc$ $-5 + 6i$
$\bigcirc$ $5 + 6i$
$\bigcirc$ $5 - 6i$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Complex Number Operations" ], "new_concepts": [], "current_concepts": [ "Complex Number Operations" ] } ## Group the real and imaginary parts Using the *Complex Number Operations* knowledge point $$ (-3 + 3i) + (-2 + 3i) = (-3 - 2) + (3i + 3i) $$ ## Combine the terms Using the *Complex Number Operations* knowledge point $$ (-3 - 2) + (3 + 3)i = -5 + 6i $$

(A) $-5 - 6i$

(B) $-5 + 6i$

(C) $5 + 6i$

(D) $5 - 6i$

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

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QUESTION IMAGE

Question

Explanation:

Group the real and imaginary parts

Combine the terms

Answer: