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

\(6x^2 + x - 2) - (-6x^2 - 4x)\

Question

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

\(6x^2 + x - 2) - (-6x^2 - 4x)\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Subtraction", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "Polynomial Subtraction", "Polynomial Simplification" ] } ## Distribute the negative sign $$ (6x^2 + x - 2) - (-6x^2 - 4x) = 6x^2 + x - 2 + 6x^2 + 4x $$ ## Group and combine like terms $$ \begin{aligned} (6x^2 + 6x^2) + (x + 4x) - 2 &= (6 + 6)x^2 + (1 + 4)x - 2 \ &= 12x^2 + 5x - 2 \end{aligned} $$ Perform the indicated operation by removing the parentheses and combining like terms. $$(6x^2 + x - 2) - (-6x^2 - 4x) =$$ $12x^2 + 5x - 2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Subtraction" ] }

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Question

Explanation:

Distribute the negative sign

Group and combine like terms

Answer: