$(5x^2 - 2x) + (3x + 3) - (3x^2 - 2x)$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Distributive Property", "Combining Like Terms", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Combining Like Terms", "Polynomial Simplification" ] } ## Apply the distributive property to remove parentheses Using the *Distributive Property* knowledge point $$ \begin{aligned} &(5x^2 - 2x) + (3x + 3) - (3x^2 - 2x) \ &= 5x^2 - 2x + 3x + 3 - 3x^2 + 2x \end{aligned} $$ ## Group like terms together Using the *Combining Like Terms* knowledge point $$ \begin{aligned} &(5x^2 - 3x^2) + (-2x + 3x + 2x) + 3 \end{aligned} $$ ## Simplify the polynomial expression Using the *Polynomial Simplification* knowledge point $$ \begin{aligned} &2x^2 + 3x + 3 \end{aligned} $$ $2x^2 + 3x + 3$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Simplification" ] }

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Question

Explanation:

Apply the distributive property to remove parentheses

Group like terms together

Simplify the polynomial expression

Answer: