question 1 • 1 point

factor: $81c^2 - 4w^2$.

Question

question 1 • 1 point

factor: $81c^2 - 4w^2$.

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": [ "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Difference of Squares" ] } ## Identify the terms as perfect squares Using the *Difference of Squares* knowledge point $$ \begin{aligned} 81c^2 &= (9c)^2 \ 4w^2 &= (2w)^2 \end{aligned} $$ ## Apply the difference of squares formula Using the *Difference of Squares* knowledge point $$ \begin{aligned} a^2 - b^2 &= (a - b)(a + b) \ (9c)^2 - (2w)^2 &= (9c - 2w)(9c + 2w) \end{aligned} $$ Factor: $81c^2 - 4w^2$ = $(9c - 2w)(9c + 2w)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Difference of Squares" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the terms as perfect squares

Apply the difference of squares formula

Answer: