$(19a^5 - 9a^4) - (-7a^5 + 11a^4)$

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Subtraction", "Combining Like Terms" ], "new_concepts": [], "current_concepts": [ "Polynomial Subtraction", "Combining Like Terms" ] } ## Distribute the negative sign $$ (19a^5 - 9a^4) - (-7a^5 + 11a^4) = 19a^5 - 9a^4 + 7a^5 - 11a^4 $$ ## Group and combine like terms $$ \begin{aligned} (19a^5 + 7a^5) + (-9a^4 - 11a^4) &= (19 + 7)a^5 + (-9 - 11)a^4 \ &= 26a^5 - 20a^4 \end{aligned} $$ $26a^5 - 20a^4$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Subtraction" ] }

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Explanation:

Distribute the negative sign

Group and combine like terms

Answer: