which subtraction expression has the difference $1 + 4i$?

$(-2 + 6i) - (1 - 2i)$
$(-2 + 6i) - (-1 - 2i)$
$(3 + 5i) - (2 - i)$
$(3 + 5i) - (2 + i)$

Question

which subtraction expression has the difference $1 + 4i$?

$(-2 + 6i) - (1 - 2i)$
$(-2 + 6i) - (-1 - 2i)$
$(3 + 5i) - (2 - i)$
$(3 + 5i) - (2 + i)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Complex Number Subtraction" ], "current_concepts": [ "Complex Numbers", "Complex Number Subtraction" ] } ## Evaluate the first option $$ (-2 + 6i) - (1 - 2i) = (-2 - 1) + (6 - (-2))i = -3 + 8i $$ ## Evaluate the second option $$ (-2 + 6i) - (-1 - 2i) = (-2 - (-1)) + (6 - (-2))i = -1 + 8i $$ ## Evaluate the third option $$ (3 + 5i) - (2 - i) = (3 - 2) + (5 - (-1))i = 1 + 6i $$ ## Evaluate the fourth option $$ (3 + 5i) - (2 + i) = (3 - 2) + (5 - 1)i = 1 + 4i $$

(A) $(-2 + 6i) - (1 - 2i)$

(B) $(-2 + 6i) - (-1 - 2i)$

(C) $(3 + 5i) - (2 - i)$

(D) $(3 + 5i) - (2 + i)$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Evaluate the first option

Evaluate the second option

Evaluate the third option

Evaluate the fourth option

Answer: