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Factor completely. $4w^2-81$

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Factor quadratics with leading coefficient 1

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Q. Factor completely.

4w^2-81

Identify Form: Identify the form of the expression. $\newline$ The given expression is $4w^2 - 81$ . This is a difference of squares because it can be written as $(2w)^2 - 9^2$ .
Apply Formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a + b)(a - b)$ . Here, $a = 2w$ and $b = 9$ .
Factor Expression: Factor the expression using the formula. $\newline$ Using the values of $a$ and $b$ from Step $2$ , we get the factored form as $(2w + 9)(2w - 9)$ .

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