perform the indicated operation(s) and simplify.

\10y - 2(y - 6) + 2y + 6\

Question

perform the indicated operation(s) and simplify.

\10y - 2(y - 6) + 2y + 6\

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": [ "Distributive Property with Polynomials", "Polynomial Simplification", "Polynomial Subtraction" ], "new_concepts": [], "current_concepts": [ "Distributive Property with Polynomials", "Polynomial Simplification", "Polynomial Subtraction" ] } ## Distribute the constant inside the brackets Using the *Distributive Property with Polynomials* knowledge point $$ 2(y - 6) = 2y - 12 $$ ## Simplify the expression inside the brackets Using the *Polynomial Simplification* knowledge point $$ \begin{aligned} &[2(y - 6) + 2y + 6] \ &= [2y - 12 + 2y + 6] \ &= [4y - 6] \end{aligned} $$ ## Subtract the simplified polynomial Using the *Polynomial Subtraction* knowledge point $$ \begin{aligned} &10y - [4y - 6] \ &= 10y - 4y + 6 \ &= 6y + 6 \end{aligned} $$ Perform the indicated operation(s) and simplify. $10y - [2(y - 6) + 2y + 6] =$ $6y + 6$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Simplification" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the constant inside the brackets

Simplify the expression inside the brackets

Subtract the simplified polynomial

Answer: