Factor completely. 81-x^(4) Answer:

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Factor completely.  81-x^(4) 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 squares, which can be factored into the product of two binomials. Step Calculation: Recognize that $ 81 - x^4 $ can be written as $ (9)^2 - (x^2)^2 $. Step Output: Expression is a difference of squares.Apply Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares factoring formula $ a^2 - b^2 = (a + b)(a - b) $. Step Calculation: Factor $ 81 - x^4 $ as $ (9 + x^2)(9 - x^2) $. Step Output: Factored form is $ (9 + x^2)(9 - x^2) $.Factor Further: Step Title: Factor Further if Possible Concise Step Description: Check if the resulting binomials can be factored further. Step Calculation: Notice that $ 9 - x^2 $ is also a difference of squares and can be factored further. Step Output: $ 9 - x^2 $ can be factored into $ (3 + x)(3 - x) $.Write Completely Factored Form: Step Title: Write the Completely Factored Form Concise Step Description: Combine the factored forms to write the final completely factored expression. Step Calculation: The completely factored form is $ (9 + x^2)(3 + x)(3 - x) $. Step Output: Completely factored form is $ (9 + x^2)(3 + x)(3 - x) $.

Factor completely. $\newline$ $81-x^{4}$ $\newline$ Answer:

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Factor completely.\newline81−x4 81-x^{4} 81−x4\newlineAnswer:

Factor completely. $\newline$ $81-x^{4}$ $\newline$ Answer: