Factor completely. 36x^(2)-49 Answer:

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the expression is a difference of squares, which can be factored into the product of two binomials. Step Calculation: Recognize that 36x^2 is a perfect square (6x)^2 and 49 is a perfect square 7^2. Step Output: The expression can be written as (6x)^2 - 7^2.Apply Factoring Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares factoring formula, which is a^2 - b^2 = (a + b)(a - b). Step Calculation: Apply the formula to the expression (6x)^2 - 7^2 to get (6x + 7)(6x - 7). Step Output: Factored form is (6x + 7)(6x - 7).

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Q. Factor completely.

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36 x^{2}-49

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Answer:

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares $\newline$ Concise Step Description: Identify that the expression is a difference of squares, which can be factored into the product of two binomials. $\newline$ Step Calculation: Recognize that $36x^2$ is a perfect square $(6x)^2$ and $49$ is a perfect square $7^2$ . $\newline$ Step Output: The expression can be written as $(6x)^2 - 7^2$ .
Apply Factoring Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares factoring formula, which is $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Step Calculation: Apply the formula to the expression $(6x)^2 - 7^2$ to get $(6x + 7)(6x - 7)$ . $\newline$ Step Output: Factored form is $(6x + 7)(6x - 7)$ .