Factor completely: d^(9)-a^(9) Answer:

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Factor completely:  d^(9)-a^(9) Answer:

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Recognize Difference of Two Squares: Step Title: Recognize the Difference of Two Squares Concise Step Description: Identify that the expression is a difference of two squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b). Step Calculation: Recognize that d^9 is (d^3)^3 and a^9 is (a^3)^3, so the expression is a difference of two cubes, which can be factored using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2). Step Output: The expression is a difference of two cubes.Apply Cubes Formula: Step Title: Apply the Difference of Two Cubes Formula Concise Step Description: Apply the difference of two cubes formula to factor the expression. Step Calculation: Using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2), we get (d^3 - a^3)((d^3)^2 + d^3*a^3 + (a^3)^2). Step Output: Factored expression as (d^3 - a^3)(d^6 + d^3*a^3 + a^6).Factor First Term Further: Step Title: Factor the First Term Further Concise Step Description: Recognize that the first term (d^3 - a^3) is also a difference of two cubes and can be factored further. Step Calculation: Using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2) again, we get (d - a)(d^2 + da + a^2). Step Output: Factored expression as (d - a)(d^2 + da + a^2).Combine Factored Terms: Step Title: Combine the Factored Terms Concise Step Description: Combine the factored terms from the previous steps to get the completely factored expression. Step Calculation: The completely factored expression is (d - a)(d^2 + da + a^2)(d^6 + d^3*a^3 + a^6). Step Output: Completely factored expression.

Factor completely: $\newline$ $d^{9}-a^{9}$ $\newline$ Answer:

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Factor completely:\newlined9−a9 d^{9}-a^{9} d9−a9\newlineAnswer:

Factor completely: $\newline$ $d^{9}-a^{9}$ $\newline$ Answer: