factor the difference of squares.

$r^2 - 25$

$r^2 - 25 =$

(factor completely.)

Question

factor the difference of squares.

$r^2 - 25$

$r^2 - 25 =$

(factor completely.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Factoring" ], "new_concepts": [ "Difference of Squares" ], "current_concepts": [ "Polynomial Factoring", "Difference of Squares" ] } ## Identify the terms as perfect squares $$ \begin{aligned} r^2 &= (r)^2 \ 25 &= (5)^2 \end{aligned} $$ ## Apply the difference of squares formula $$ \begin{aligned} a^2 - b^2 &= (a - b)(a + b) \ r^2 - 25 &= (r - 5)(r + 5) \end{aligned} $$ Factor the difference of squares. $r^2 - 25 =$ $(r - 5)(r + 5)$ (Factor completely.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Difference of Squares" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the terms as perfect squares

Apply the difference of squares formula

Answer: