{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Factoring Polynomials", "Greatest Common Factor" ], "new_concepts": [], "current_concepts": [ "Factoring Polynomials", "Greatest Common Factor", "Algebraic Simplification" ] } ## Identify the terms of the expression \[ 42a - 12b + 6a \] ## Combine the like terms \[ (42a + 6a) - 12b = 48a - 12b \] ## Factor out the greatest common factor \[ 12(4a - b) \] $12(4a - b)$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Polynomials" ] }

\\42a - 12b + 6a\\

QUESTION IMAGE

$\\42a - 12b + 6a\\$

Question

\\42a - 12b + 6a\\

Explanation:

Identify the terms of the expression

$$ 42a - 12b + 6a $$

Combine the like terms

$$ (42a + 6a) - 12b = 48a - 12b $$

Factor out the greatest common factor

$$ 12(4a - b) $$

Answer:

$12(4a - b)$