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

\(6x + 8) - (-3x^2 + 7x)\

Question

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

\(6x + 8) - (-3x^2 + 7x)\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Subtraction", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "Polynomial Subtraction", "Polynomial Simplification" ] } ## Distribute the negative sign Using the *Polynomial Subtraction* knowledge point $$ (6x + 8) - (-3x^2 + 7x) = 6x + 8 + 3x^2 - 7x $$ ## Group and combine like terms Using the *Polynomial Simplification* knowledge point $$ \begin{aligned} &= 3x^2 + (6x - 7x) + 8\ &= 3x^2 - x + 8 \end{aligned} $$ Perform the indicated operation by removing the parentheses and combining like terms. $$ (6x + 8) - (-3x^2 + 7x) = $$ $3x^2 - x + 8$ { "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: