find the sum of (6x^2 - 3) and (8x^2 - 5x - 1).

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Polynomial Addition", "Combining Like Terms" ], "current_concepts": [ "Polynomial Addition", "Combining Like Terms" ] } ## Set up the addition expression $$ (6x^2 - 3) + (8x^2 - 5x - 1) $$ ## Group like terms $$ (6x^2 + 8x^2) - 5x + (-3 - 1) $$ ## Combine coefficients $$ 14x^2 - 5x - 4 $$ $14x^2 - 5x - 4$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Addition" ] }

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Explanation:

Set up the addition expression

Group like terms

Combine coefficients

Answer: