Factor completely. 1-x^(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 is a special factoring case where the formula is a^2 - b^2 = (a + b)(a - b). Step Calculation: Recognize that 1 is the square of 1 (1^2) and x^2 is the square of x (x^2), so the expression 1 - x^2 is a difference of squares. Step Output: The expression is a difference of squares.Apply Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Apply the difference of squares formula to factor the expression. Step Calculation: Using the formula a^2 - b^2 = (a + b)(a - b), we can write 1 - x^2 as (1 + x)(1 - x). Step Output: Factored form is (1 + x)(1 - x).

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Algebra 2

Factor polynomials

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Q. Factor completely.

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1-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 is a special factoring case where the formula is $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Step Calculation: Recognize that $1$ is the square of $1$ ( $1^2$ ) and $x^2$ is the square of $x$ ( $x^2$ ), so the expression $1 - x^2$ is a difference of squares. $\newline$ Step Output: The expression is a difference of squares.
Apply Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Apply the difference of squares formula to factor the expression. $\newline$ Step Calculation: Using the formula $a^2 - b^2 = (a + b)(a - b)$ , we can write $1 - x^2$ as $(1 + x)(1 - x)$ . $\newline$ Step Output: Factored form is $(1 + x)(1 - x)$ .