factor out the greatest common factor.

\5r(p - 5q) + 4(p - 5q) = \

Question

factor out the greatest common factor.

\5r(p - 5q) + 4(p - 5q) = \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor", "Factoring by Grouping" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Factoring by Grouping" ] } ## Identify the common binomial factor $$ 5r(p - 5q) + 4(p - 5q) $$ ## Factor out the greatest common factor $$ (p - 5q)(5r + 4) $$ Factor out the greatest common factor. $5r(p - 5q) + 4(p - 5q) =$ $(p - 5q)(5r + 4)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Factoring by Grouping" ] }

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Explanation:

Identify the common binomial factor

Factor out the greatest common factor

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