Factor completely: r^(6)-64s^(6) Answer:

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Factor completely:  r^(6)-64s^(6) Answer:

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Recognize Difference of 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 r^(6) is a perfect square, as (r^(3))^2, and 64s^(6) is also a perfect square, as (8s^(3))^2. Step Output: The expression can be written as (r^(3))^2 - (8s^(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 to the expression with a = r^(3) and b = 8s^(3). Step Output: The factored form is (r^(3) - 8s^(3))(r^(3) + 8s^(3)).Factor Further if Possible: Step Title: Factor Further if Possible Concise Step Description: Check if the two resulting binomials can be factored further. Step Calculation: Recognize that r^(3) - 8s^(3) is also a difference of cubes, which can be factored using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2). Step Output: Apply the formula with a = r and b = 8s to get (r - 8s)(r^2 + 8rs + 64s^2).Combine Factored Forms: Step Title: Combine the Factored Forms Concise Step Description: Combine the factored forms from the previous steps to get the final factored expression. Step Calculation: The final factored form is (r - 8s)(r^2 + 8rs + 64s^2)(r^(3) + 8s^(3)). Step Output: The completely factored expression is (r - 8s)(r^2 + 8rs + 64s^2)(r^(3) + 8s^(3)).

Factor completely: $\newline$ $r^{6}-64 s^{6}$ $\newline$ Answer:

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Factor completely:\newliner6−64s6 r^{6}-64 s^{6} r6−64s6\newlineAnswer:

Factor completely: $\newline$ $r^{6}-64 s^{6}$ $\newline$ Answer: