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

\-3i(5 - 7i)\

Question

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

\-3i(5 - 7i)\

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 Multiplication" ], "current_concepts": [ "Imaginary Numbers", "Complex Number Multiplication" ] } ## Distribute the term $$ -3i(5 - 7i) = -3i(5) - (-3i)(7i) $$ ## Simplify the products $$ -15i + 21i^2 $$ ## Substitute imaginary unit identity $$ \begin{aligned} &i^2 = -1 \ &-15i + 21(-1) = -21 - 15i \end{aligned} $$ Perform all operations. Give the answer in $a + bi$ form. $$-3i(5 - 7i)$$ $-21 - 15i$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Complex Number Multiplication" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the term

Simplify the products

Substitute imaginary unit identity

Answer: