{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Simplification" ], "new_concepts": [ "Factoring Polynomials", "Greatest Common Factor" ], "current_concepts": [ "Algebraic Simplification", "Factoring Polynomials", "Greatest Common Factor" ] } ## Identify the terms of the expression \[ 42a - 12b + 69 \] ## Find the greatest common factor of the coefficients \[ \gcd(42, 12, 69) = 3 \] ## Factor out the greatest common factor \[ 3(14a - 4b + 23) \] $3(14a - 4b + 23)$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Polynomials" ] }

\\42a - 12b + 69\\

QUESTION IMAGE

$\\42a - 12b + 69\\$

Question

\\42a - 12b + 69\\

Explanation:

Identify the terms of the expression

$$ 42a - 12b + 69 $$

Find the greatest common factor of the coefficients

\gcd(42, 12, 69) = 3

Factor out the greatest common factor

$$ 3(14a - 4b + 23) $$

Answer:

$3(14a - 4b + 23)$