Factor. 9t^2 - 1 ______

Identify Form: Identify the form of the expression 9t^2 - 1. This expression represents the form a^2 - b^2, which is known as the difference of squares.Rewrite 9t^2: Rewrite 9t^2 in the form of a^2. 3^2 = 9 9t^2 = (3t)^2Rewrite 1: Rewrite 1 in the form of b^2. 1 = 1^2Identify Values: We found: 9t^2 = (3t)^2 1 = 1^2 Identify the values of a and b. Compare (3t)^2 with a^2 and 1^2 with b^2. a = 3t b = 1Write Factored Form: Write the factored form of the expression 9t^2 - 1 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: (3t + 1)(3t - 1)

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9t^2 - 1

Identify Form: Identify the form of the expression $9t^2 - 1$ . This expression represents the form $a^2 - b^2$ , which is known as the difference of squares.
Rewrite $9t^2$ : Rewrite $9t^2$ in the form of $a^2$ . $\newline$ $3^2 = 9$ $\newline$ $9t^2 = (3t)^2$
Rewrite $1$ : Rewrite $1$ in the form of $b^2$ . $\newline$ $1 = 1^2$
Identify Values: We found: $\newline$ $9t^2 = (3t)^2$ $\newline$ $1 = 1^2$ $\newline$ Identify the values of $a$ and $b$ . $\newline$ Compare $(3t)^2$ with $a^2$ and $1^2$ with $b^2$ . $\newline$ $a = 3t$ $\newline$ $b = 1$
Write Factored Form: Write the factored form of the expression $9t^2 - 1$ 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: $(3t + 1)(3t - 1)$