Factor completely. 81x^(2)-121 Answer:

Identify Expression Type: Step Title: Identify the Type of Expression Concise Step Description: Recognize that the given expression is a difference of squares. Step Calculation: The expression 81x^2 - 121 can be written as (9x)^2 - (11)^2, which is a difference of squares since both 81x^2 and 121 are perfect squares. Step Output: Expression is a difference of squares.Apply Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares formula, which is a^2 - b^2 = (a + b)(a - b), to factor the expression. Step Calculation: The factored form using the difference of squares formula is (9x + 11)(9x - 11). Step Output: Factored Form: (9x + 11)(9x - 11)

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Q. Factor completely.

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81 x^{2}-121

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Answer:

Identify Expression Type: Step Title: Identify the Type of Expression $\newline$ Concise Step Description: Recognize that the given expression is a difference of squares. $\newline$ Step Calculation: The expression $81x^2 - 121$ can be written as $(9x)^2 - (11)^2$ , which is a difference of squares since both $81x^2$ and $121$ are perfect squares. $\newline$ Step Output: Expression is a difference of squares.
Apply Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares formula, which is $a^2 - b^2 = (a + b)(a - b)$ , to factor the expression. $\newline$ Step Calculation: The factored form using the difference of squares formula is $(9x + 11)(9x - 11)$ . $\newline$ Step Output: Factored Form: $(9x + 11)(9x - 11)$