subtract $7x^2 - x - 1$ from $x^2 + 3x + 3$.

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Combining Like Terms" ], "new_concepts": [ "Polynomial Subtraction" ], "current_concepts": [ "Polynomial Subtraction", "Combining Like Terms" ] } ## Set up the subtraction expression $$ (x^2 + 3x + 3) - (7x^2 - x - 1) $$ ## Distribute the negative sign $$ x^2 + 3x + 3 - 7x^2 + x + 1 $$ ## Group and combine like terms $$ (1 - 7)x^2 + (3 + 1)x + (3 + 1) = -6x^2 + 4x + 4 $$ $-6x^2 + 4x + 4$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Subtraction" ] }

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Explanation:

Set up the subtraction expression

Distribute the negative sign

Group and combine like terms

Answer: