h $a^2b - 4ab^2 + 3a^2b + b^2a$
j $12m^2n^2 - 2mn^2 - 4m^2n^2 + mn^2$

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{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Collecting Like Terms", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Collecting Like Terms", "Algebraic Simplification" ] } ## Identify and group like terms in expression h Using the *Collecting Like Terms* and *Algebraic Simplification* knowledge points $$ \begin{aligned} &\text{Expression: } a^2b - 4ab^2 + 3a^2b + b^2a \ &\text{Note: } b^2a = ab^2 \ &\text{Group } a^2b\text{ terms: } a^2b + 3a^2b = 4a^2b \ &\text{Group } ab^2\text{ terms: } -4ab^2 + ab^2 = -3ab^2 \ &\text{Combined: } 4a^2b - 3ab^2 \end{aligned} $$ ## Identify and group like terms in expression j Using the *Collecting Like Terms* and *Algebraic Simplification* knowledge points $$ \begin{aligned} &\text{Expression: } 12m^2n^2 - 2mn^2 - 4m^2n^2 + mn^2 \ &\text{Group } m^2n^2\text{ terms: } 12m^2n^2 - 4m^2n^2 = 8m^2n^2 \ &\text{Group } mn^2\text{ terms: } -2mn^2 + mn^2 = -mn^2 \ &\text{Combined: } 8m^2n^2 - mn^2 \end{aligned} $$ ## Question h $4a^2b - 3ab^2$ ## Question j $8m^2n^2 - mn^2$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Collecting Like Terms" ] }

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Identify and group like terms in expression h

Identify and group like terms in expression j

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Question h

Question j