Factor completely. 81-64x^(2) Answer:

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the expression is a difference of squares, which can be factored into the form (a^2 - b^2) = (a + b)(a - b). Step Calculation: Recognize that 81 is a perfect square (9^2) and 64x^2 is also a perfect square (8x)^2. Step Output: The expression can be written as (9^2 - (8x)^2).Apply Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares formula to factor the expression. Step Calculation: Factor the expression as (9 + 8x)(9 - 8x). Step Output: The factored form is (9 + 8x)(9 - 8x).

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Q. Factor completely.

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81-64 x^{2}

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Answer:

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares $\newline$ Concise Step Description: Identify that the expression is a difference of squares, which can be factored into the form $(a^2 - b^2) = (a + b)(a - b)$ . $\newline$ Step Calculation: Recognize that $81$ is a perfect square $(9^2)$ and $64x^2$ is also a perfect square $(8x)^2$ . $\newline$ Step Output: The expression can be written as $(9^2 - (8x)^2)$ .
Apply Squares Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares formula to factor the expression. $\newline$ Step Calculation: Factor the expression as $(9 + 8x)(9 - 8x)$ . $\newline$ Step Output: The factored form is $(9 + 8x)(9 - 8x)$ .