$(-4m^2 + 2m) + (4m^2 - 4) - (5m - 1)$

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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" ] } ## Remove parentheses Using the *Distributive Property* knowledge point $$ \begin{aligned} &(-4m^2 + 2m) + (4m^2 - 4) - (5m - 1) \ &= -4m^2 + 2m + 4m^2 - 4 - 5m + 1 \end{aligned} $$ ## Group like terms Using the *Combining Like Terms* knowledge point $$ \begin{aligned} &= (-4m^2 + 4m^2) + (2m - 5m) + (-4 + 1) \end{aligned} $$ ## Simplify the expression Using the *Polynomial Simplification* knowledge point $$ \begin{aligned} &= 0m^2 - 3m - 3 \ &= -3m - 3 \end{aligned} $$ $-3m - 3$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Simplification" ] }

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Question

Explanation:

Remove parentheses

Group like terms

Simplify the expression

Answer: