completely factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

\5y(3a - 8) - 4b(3a - 8)\

Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

\5y(3a - 8) - 4b(3a - 8)\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Factoring Polynomials by GCF" ], "new_concepts": [], "current_concepts": [ "Factoring Polynomials by GCF", "Factoring by Grouping" ] } ## Identify the common binomial factor Using the *Factoring Polynomials by GCF* knowledge point $$ \begin{aligned} &\text{Given expression: } 5y(3a - 8) - 4b(3a - 8)\ &\text{Common binomial factor: } (3a - 8) \end{aligned} $$ ## Factor out the common binomial Using the *Factoring Polynomials by GCF* knowledge point $$ \begin{aligned} &5y(3a - 8) - 4b(3a - 8) = (3a - 8)(5y - 4b) \end{aligned} $$ $(3a - 8)(5y - 4b)$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Polynomials by GCF" ] }

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Question

Explanation:

Identify the common binomial factor

Factor out the common binomial

Answer: