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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponent Rules", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Algebraic Simplification", "Exponent Rules", "Distributive Property" ] } ## Apply the distributive property $$ 3xy(5x + 3 - 7y) = (3xy \cdot 5x) + (3xy \cdot 3) - (3xy \cdot 7y) $$ ## Simplify each term $$ \begin{aligned} 3xy \cdot 5x &= 15x^2y \ 3xy \cdot 3 &= 9xy \ 3xy \cdot 7y &= 21xy^2 \end{aligned} $$ ## Combine the simplified terms $$ 15x^2y + 9xy - 21xy^2 $$

(A) $15x^2y + 9xy - 21xy^2$

(B) $15x^2y + 3 - 7y$

(C) $8x^2y + 6xy - 4xy^2$

(D) $15xy + 3xy - 21xy^2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Algebraic Simplification" ] }

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Question

Explanation:

Apply the distributive property

Simplify each term

Combine the simplified terms

Answer: