Factor. 9x^2 - 4 ______

Identify Form: Identify the form of the expression 9x^2 - 4. This expression represents the form a^2 - b^2, which is known as the difference of squares.Rewrite 9x^2: Rewrite 9x^2 in the form of a^2. 3^2 = 9 9x^2 = (3x)^2Rewrite 4: Rewrite 4 in the form of b^2. 2^2 = 4Identify Values: We found: 9x^2 = (3x)^2 4 = 2^2 Identify the values of a and b. Compare (3x)^2 with a^2 and 2^2 with b^2. a = 3x b = 2Write Factored Form: Write the factored form of the expression 9x^2 - 4 using the difference of squares formula. The difference of squares formula is a^2 - b^2 = (a + b)(a - b). Substitute the values of a and b in (a + b)(a - b). Factored form: (3x + 2)(3x - 2)

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9x^2 - 4

Identify Form: Identify the form of the expression $9x^2 - 4$ . This expression represents the form $a^2 - b^2$ , which is known as the difference of squares.
Rewrite $9x^2$ : Rewrite $9x^2$ in the form of $a^2$ . $\newline$ $3^2 = 9$ $\newline$ $9x^2 = (3x)^2$
Rewrite $4$ : Rewrite $4$ in the form of $b^2$ . $\newline$ $2^2 = 4$
Identify Values: We found: $\newline$ $9x^2 = (3x)^2$ $\newline$ $4 = 2^2$ $\newline$ Identify the values of $a$ and $b$ . $\newline$ Compare $(3x)^2$ with $a^2$ and $2^2$ with $b^2$ . $\newline$ $a = 3x$ $\newline$ $b = 2$
Write Factored Form: Write the factored form of the expression $9x^2 - 4$ using the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Substitute the values of $a$ and $b$ in $(a + b)(a - b)$ . $\newline$ Factored form: $(3x + 2)(3x - 2)$