Factor completely. 25-144x^(2) 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 25 is a perfect square (5^2) and 144x^2 is also a perfect square (12x)^2. Step Output: The expression can be written as 5^2 - (12x)^2.Apply 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 5^2 - (12x)^2 to get (5 - 12x)(5 + 12x). Step Output: The factored form is (5 - 12x)(5 + 12x).

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Q. Factor completely.

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25-144 x^{2}

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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 $25$ is a perfect square ( $5^2$ ) and $144x^2$ is also a perfect square ( $(12x)^2$ ). $\newline$ Step Output: The expression can be written as $5^2 - (12x)^2$ .
Apply 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 $5^2 - (12x)^2$ to get $(5 - 12x)(5 + 12x)$ . $\newline$ Step Output: The factored form is $(5 - 12x)(5 + 12x)$ .