find the product of the binomials using the appropriate special product (difference of two squares, square of a binomial sum, or square of a binomial difference).

\(5x - 9)(5x + 9)\

Question

find the product of the binomials using the appropriate special product (difference of two squares, square of a binomial sum, or square of a binomial difference).

\(5x - 9)(5x + 9)\

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": [ "Special Products", "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Special Products", "Difference of Squares", "Polynomial Multiplication" ] } ## Identify the special product pattern Using the *Difference of Squares* and *Special Products* knowledge points $$ (a - b)(a + b) = a^2 - b^2 $$ ## Match terms to the formula Using the *Difference of Squares* knowledge point $$ \begin{aligned} a &= 5x \ b &= 9 \end{aligned} $$ ## Apply the formula and simplify Using the *Difference of Squares* and *Special Products* knowledge points $$ \begin{aligned} (5x - 9)(5x + 9) &= (5x)^2 - (9)^2 \ &= 25x^2 - 81 \end{aligned} $$ Find the product of the binomials using the appropriate special product (difference of two squares, square of a binomial sum, or square of a binomial difference). $$(5x - 9)(5x + 9) =$$ $25x^2 - 81$ { "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 special product pattern

Match terms to the formula

Apply the formula and simplify

Answer: