1.

perform all operations. give the answer in $a + bi$ form.

$(12 + 2i) - (17 - 4i)$

Question

1.

perform all operations. give the answer in $a + bi$ form.

$(12 + 2i) - (17 - 4i)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Complex Number Subtraction" ], "new_concepts": [], "current_concepts": [ "Complex Number Subtraction", "Imaginary Numbers" ] } ## Distribute the negative sign $$ (12 + 2i) - (17 - 4i) = 12 + 2i - 17 + 4i $$ ## Group real and imaginary parts $$ (12 - 17) + (2i + 4i) $$ ## Combine like terms $$ -5 + 6i $$ Perform all operations. Give the answer in $a + bi$ form. $$(12 + 2i) - (17 - 4i)$$ $-5 + 6i$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Complex Number Subtraction" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the negative sign

Group real and imaginary parts

Combine like terms

Answer: