Factor completely. 144x^(2)-1 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 product of a sum and difference. Step Calculation: Recognize that 144x^2 is a perfect square (12x)^2 and 1 is also a perfect square (1)^2. Step Output: The expression can be written as (12x)^2 - (1)^2.Apply Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares factoring formula, which states that a^2 - b^2 = (a + b)(a - b). Step Calculation: Factor the expression using the formula with a = 12x and b = 1. Step Output: The factored form is (12x + 1)(12x - 1).

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Q. Factor completely.

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144 x^{2}-1

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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 product of a sum and difference. $\newline$ Step Calculation: Recognize that $144x^2$ is a perfect square $(12x)^2$ and $1$ is also a perfect square $(1)^2$ . $\newline$ Step Output: The expression can be written as $(12x)^2 - (1)^2$ .
Apply Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares factoring formula, which states that $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Step Calculation: Factor the expression using the formula with $a = 12x$ and $b = 1$ . $\newline$ Step Output: The factored form is $(12x + 1)(12x - 1)$ .