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).

\(x - 2)(x + 2)\

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).

\(x - 2)(x + 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": [ "Special Products", "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Special Products", "Difference of Squares" ] } ## Identify the appropriate special product Using the **Special Products** and **Difference of Squares** knowledge points $$ (a-b)(a+b) = a^2 - b^2 $$ ## Apply the formula to the given binomials Using the **Difference of Squares** knowledge point $$ \begin{aligned} a &= x \ b &= 2 \ (x-2)(x+2) &= x^2 - 2^2 \ &= x^2 - 4 \end{aligned} $$ 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). $$(x - 2)(x + 2) =$$ $x^2 - 4$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Difference of Squares" ] }

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Question

Explanation:

Identify the appropriate special product

Apply the formula to the given binomials

Answer: