Factor completely. 144-x^(4)y^(6) Answer:

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the expression is a difference of squares. Step Calculation: Recognize that 144 is a perfect square (12^2) and x^4y^6 is also a perfect square ((x^2y^3)^2). Step Output: The expression can be written as (12^2 - (x^2y^3)^2).Apply Squares 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). Step Calculation: Apply the formula with a = 12 and b = x^2y^3 to get (12 - x^2y^3)(12 + x^2y^3). Step Output: The factored form is (12 - x^2y^3)(12 + x^2y^3).

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Q. Factor completely.

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144-x^{4} y^{6}

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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. $\newline$ Step Calculation: Recognize that $144$ is a perfect square ( $12^2$ ) and $x^4y^6$ is also a perfect square ( $((x^2y^3)^2)$ ). $\newline$ Step Output: The expression can be written as $(12^2 - (x^2y^3)^2)$ .
Apply Squares Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares formula, which is $a^2 - b^2 = (a - b)(a + b)$ . $\newline$ Step Calculation: Apply the formula with $a = 12$ and $b = x^2y^3$ to get $(12 - x^2y^3)(12 + x^2y^3)$ . $\newline$ Step Output: The factored form is $(12 - x^2y^3)(12 + x^2y^3)$ .