Factor completely. 64x^(2)-y^(4) Answer:

Recognize Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the expression is a difference of two squares. Step Calculation: Recognize that 64x^2 is a perfect square (8x)^2 and y^4 is a perfect square (y^2)^2. Step Output: The expression can be written as (8x)^2 - (y^2)^2.Apply Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the formula a^2 - b^2 = (a + b)(a - b) to factor the expression. Step Calculation: Apply the formula with a = 8x and b = y^2 to get (8x + y^2)(8x - y^2). Step Output: The factored form is (8x + y^2)(8x - y^2).

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Q. Factor completely.

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64 x^{2}-y^{4}

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Answer:

Recognize Squares: Step Title: Recognize the Difference of Squares $\newline$ Concise Step Description: Identify that the expression is a difference of two squares. $\newline$ Step Calculation: Recognize that $64x^2$ is a perfect square $(8x)^2$ and $y^4$ is a perfect square $(y^2)^2$ . $\newline$ Step Output: The expression can be written as $(8x)^2 - (y^2)^2$ .
Apply Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the formula $a^2 - b^2 = (a + b)(a - b)$ to factor the expression. $\newline$ Step Calculation: Apply the formula with $a = 8x$ and $b = y^2$ to get $(8x + y^2)(8x - y^2)$ . $\newline$ Step Output: The factored form is $(8x + y^2)(8x - y^2)$ .