Factor as the product of two binomials. 1-x^(2)=

Determine factoring technique: Determine the appropriate factoring technique for 1 - x^2. The expression is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b). Here, 1 = 1^2 and x^2 = (x)^2, so 1 - x^2 is in the form of a^2 - b^2.Apply difference of squares formula: Apply the difference of squares formula to factor the expression. Using the formula a^2 - b^2 = (a - b)(a + b), we can write 1 - x^2 as (1 - x)(1 + x).Check for mathematical errors: Check for any mathematical errors in the factoring process. The factored form (1 - x)(1 + x) correctly represents the original expression 1 - x^2 when multiplied out.

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Algebra 1

Factor quadratics: special cases

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Q. Factor as the product of two binomials.

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1-x^{2}=

Determine factoring technique: Determine the appropriate factoring technique for $1 - x^2$ . $\newline$ The expression is a difference of squares, which can be factored using the formula $a^2 - b^2 = (a - b)(a + b)$ . $\newline$ Here, $1 = 1^2$ and $x^2 = (x)^2$ , so $1 - x^2$ is in the form of $a^2 - b^2$ .
Apply difference of squares formula: Apply the difference of squares formula to factor the expression. $\newline$ Using the formula $a^2 - b^2 = (a - b)(a + b)$ , we can write $1 - x^2$ as $(1 - x)(1 + x)$ .
Check for mathematical errors: Check for any mathematical errors in the factoring process. $\newline$ The factored form $(1 - x)(1 + x)$ correctly represents the original expression $1 - x^2$ when multiplied out.