Factor. 4x^2 - 9 ______

Determine Factoring Technique: Determine the appropriate factoring technique for 4x^2 - 9. 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 4x^2 - 9 as squares. 4x^2 can be written as (2x)^2 and 9 can be written as 3^2. Thus, 4x^2 - 9 is in the form of a^2 - b^2 where a = 2x and b = 3.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 (2x - 3)(2x + 3) as the factored form of 4x^2 - 9.

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

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4x^2 - 9

Determine Factoring Technique: Determine the appropriate factoring technique for $4x^2 - 9$ . 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 $4x^2 - 9$ as squares. $\newline$ $4x^2$ can be written as $(2x)^2$ and $9$ can be written as $3^2$ . Thus, $4x^2 - 9$ is in the form of $a^2 - b^2$ where $a = 2x$ and $b = 3$ .
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 $(2x - 3)(2x + 3)$ as the factored form of $4x^2 - 9$ .