Factor completely. 49-25x^(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 49 is a perfect square (7^2) and 25x^2 is also a perfect square (5x)^2. Step Output: The expression 49 - 25x^2 is a difference of squares.Apply Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b), to factor the expression. Step Calculation: Apply the formula with a = 7 and b = 5x to get (7 + 5x)(7 - 5x). Step Output: The factored form is (7 + 5x)(7 - 5x).

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Q. Factor completely.

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49-25 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 $49$ is a perfect square ( $7^2$ ) and $25x^2$ is also a perfect square ( $(5x)^2$ ). $\newline$ Step Output: The expression $49 - 25x^2$ is a difference of squares.
Apply Squares Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares formula, which states that $a^2 - b^2 = (a + b)(a - b)$ , to factor the expression. $\newline$ Step Calculation: Apply the formula with $a = 7$ and $b = 5x$ to get $(7 + 5x)(7 - 5x)$ . $\newline$ Step Output: The factored form is $(7 + 5x)(7 - 5x)$ .