Factor completely. x^(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 is a special factoring case. Step Calculation: Recognize that x^2 is a square and 1 is also a square (1^2). Step Output: The expression x^2 - 1 can be written as x^2 - 1^2.Apply Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). Step Calculation: Apply the formula to x^2 - 1^2 to get (x + 1)(x - 1). Step Output: Factored form is (x + 1)(x - 1).

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Q. Factor completely.

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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 is a special factoring case. $\newline$ Step Calculation: Recognize that $x^2$ is a square and $1$ is also a square ( $1^2$ ). $\newline$ Step Output: The expression $x^2 - 1$ can be written as $x^2 - 1^2$ .
Apply Squares Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares formula, which states that $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Step Calculation: Apply the formula to $x^2 - 1^2$ to get $(x + 1)(x - 1)$ . $\newline$ Step Output: Factored form is $(x + 1)(x - 1)$ .