Factor. r^2 - 1 ______

Determine factoring technique: Determine the appropriate factoring technique for r^2 - 1. The expression is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b).Identify expression form: Identify r^2 - 1 in the form of a^2 - b^2. r^2 can be written as (r)^2, and 1 can be written as (1)^2, so r^2 - 1 = (r)^2 - (1)^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 get (r)^2 - (1)^2 = (r - 1)(r + 1).Write final factored form: Write down the final factored form of the expression. The factored form of r^2 - 1 is (r - 1)(r + 1).

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Math Problems

Algebra 1

Factor quadratics: special cases

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Q. Factor.

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r^2 - 1

Determine factoring technique: Determine the appropriate factoring technique for $r^2 - 1$ . The expression is a difference of squares, which can be factored using the formula $a^2 - b^2 = (a - b)(a + b)$ .
Identify expression form: Identify $r^2 - 1$ in the form of $a^2 - b^2$ . $r^2$ can be written as $(r)^2$ , and $1$ can be written as $(1)^2$ , so $r^2 - 1 = (r)^2 - (1)^2$ .
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 get $(r)^2 - (1)^2 = (r - 1)(r + 1)$ .
Write final factored form: Write down the final factored form of the expression. $\newline$ The factored form of $r^2 - 1$ is $(r - 1)(r + 1)$ .