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

$(19 - 7i) - (15 - 5i)$

Question

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

$(19 - 7i) - (15 - 5i)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Imaginary Numbers" ], "new_concepts": [ "Complex Number Subtraction" ], "current_concepts": [ "Imaginary Numbers", "Complex Number Subtraction" ] } ## Distribute the negative sign $$ (19 - 7i) - (15 - 5i) = 19 - 7i - 15 + 5i $$ ## Group real and imaginary parts $$ (19 - 15) + (-7i + 5i) $$ ## Simplify the terms $$ 4 - 2i $$ Perform all operations. Give the answer in $a + bi$ form. $$(19 - 7i) - (15 - 5i) =$$ $4 - 2i$ { "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

Simplify the terms

Answer: