Factor completely. 144-x^(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 144 is a perfect square (12^2) and x^2 is also a perfect square. The expression 144 - x^2 can be written as (12)^2 - (x)^2. Step Output: Expression identified as a difference of squares.Apply Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares factoring formula, which states that a^2 - b^2 = (a + b)(a - b). Step Calculation: Apply the formula to the expression (12)^2 - (x)^2 to get (12 + x)(12 - x). Step Output: Factored form using the difference of squares formula.

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Q. Factor completely.

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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 $144$ is a perfect square $(12^2)$ and $x^2$ is also a perfect square. The expression $144 - x^2$ can be written as $(12)^2 - (x)^2$ . $\newline$ Step Output: Expression identified as a difference of squares.
Apply Squares Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares factoring formula, which states that $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Step Calculation: Apply the formula to the expression $(12)^2 - (x)^2$ to get $(12 + x)(12 - x)$ . $\newline$ Step Output: Factored form using the difference of squares formula.