Factor completely. 81-x^(2) Answer:

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 a sum and difference. Step Calculation: Recognize that $ 81 - x^2 $ can be written as $ (9)^2 - (x)^2 $.Apply Squares 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: Factor $ 81 - x^2 $ as $ (9 + x)(9 - x) $.Verify Factoring: Step Title: Verify the Factoring Concise Step Description: Check the factored form by multiplying the factors to see if it gives the original expression. Step Calculation: $ (9 + x)(9 - x) = 81 - x^2 $.

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Algebra 2

Factor polynomials

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Q. Factor completely.

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81-x^{2}

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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, which can be factored into the product of a sum and difference. $\newline$ Step Calculation: Recognize that $81 - x^2$ can be written as $(9)^2 - (x)^2$ .
Apply Squares 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: Factor $81 - x^2$ as $(9 + x)(9 - x)$ .
Verify Factoring: Step Title: Verify the Factoring $\newline$ Concise Step Description: Check the factored form by multiplying the factors to see if it gives the original expression. $\newline$ Step Calculation: $(9 + x)(9 - x) = 81 - x^2$ .