which equation is true?
$9x^2 - 25 = (3x - 5)(3x - 5)$
$9x^2 - 25 = (3x - 5)(3x + 5)$
$9x^2 - 25 = -(3x + 5)(3x + 5)$
$9x^2 - 25 = -(3x + 5)(3x - 5)$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Difference of Squares", "Factoring Polynomials" ] } ## Identify the algebraic structure $$ 9x^2 - 25 = (3x)^2 - 5^2 $$ ## Apply the difference of squares formula $$ a^2 - b^2 = (a - b)(a + b) $$ $$ (3x)^2 - 5^2 = (3x - 5)(3x + 5) $$ ## Match with the given options $$ 9x^2 - 25 = (3x - 5)(3x + 5) $$

(A) $9x^2 - 25 = (3x - 5)(3x - 5)$

(B) $9x^2 - 25 = (3x - 5)(3x + 5)$

(C) $9x^2 - 25 = -(3x + 5)(3x + 5)$

(D) $9x^2 - 25 = -(3x + 5)(3x - 5)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Difference of Squares" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the algebraic structure

Apply the difference of squares formula

Match with the given options

Answer: