Factor. 4w^2 - 1 ______

Identify Factoring Technique: Determine the appropriate factoring technique for 4w^2 - 1. Since we have a difference of squares, we can use the formula a^2 - b^2 = (a - b)(a + b).Identify Squares in Expression: Identify the terms in the expression 4w^2 - 1 as squares. 4w^2 can be written as (2w)^2 because 2w * 2w = 4w^2. 1 can be written as 1^2 because 1 * 1 = 1. So, 4w^2 - 1 is in the form of a^2 - b^2 where a = 2w and b = 1.Apply Difference of Squares Formula: Apply the difference of squares formula to factor the expression. Using a = 2w and b = 1, we get: (2w)^2 - 1^2 = (2w - 1)(2w + 1).

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

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4w^2 - 1

Identify Factoring Technique: Determine the appropriate factoring technique for $4w^2 - 1$ . Since we have a difference of squares, we can use the formula $a^2 - b^2 = (a - b)(a + b)$ .
Identify Squares in Expression: Identify the terms in the expression $4w^2 - 1$ as squares. $\newline$ $4w^2$ can be written as $(2w)^2$ because $2w \times 2w = 4w^2$ . $\newline$ $1$ can be written as $1^2$ because $1 \times 1 = 1$ . $\newline$ So, $4w^2 - 1$ is in the form of $a^2 - b^2$ where $a = 2w$ and $4w^2$ $0$ .
Apply Difference of Squares Formula: Apply the difference of squares formula to factor the expression. $\newline$ Using $a = 2w$ and $b = 1$ , we get: $\newline$ $(2w)^2 - 1^2 = (2w - 1)(2w + 1)$ .