perform the indicated operation by removing the parentheses and combining the like terms.

$(-4x^3 - 9x^2) - (-6x^3 + 7x^2)$

Question

perform the indicated operation by removing the parentheses and combining the like terms.

$(-4x^3 - 9x^2) - (-6x^3 + 7x^2)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Subtraction", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "Polynomial Subtraction", "Polynomial Simplification" ] } ## Remove parentheses by distributing the negative sign $$ (-4x^3 - 9x^2) - (-6x^3 + 7x^2) = -4x^3 - 9x^2 + 6x^3 - 7x^2 $$ ## Group and combine like terms $$ \begin{aligned} &= (-4x^3 + 6x^3) + (-9x^2 - 7x^2) \ &= 2x^3 - 16x^2 \end{aligned} $$ $2x^3 - 16x^2$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Subtraction" ] }

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QUESTION IMAGE

Question

Explanation:

Remove parentheses by distributing the negative sign

Group and combine like terms

Answer: