Factor completely. 81p^(8)-100=

Identify Expression Type: Step Title: Identify the Type of Expression Concise Step Description: Determine the type of expression to factor. Step Calculation: The expression is a difference of squares because it is in the form of a^2 - b^2, where a = 81p^(8) and b = 100.Find Square Roots: Step Title: Find the Square Roots Concise Step Description: Find the square roots of the terms in the difference of squares. Step Calculation: The square root of 81p^(8) is 9p^(4) and the square root of 100 is 10.Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Express the difference of squares as the product of two binomials. Step Calculation: The factored form is (9p^(4) + 10)(9p^(4) - 10).

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Algebra 2

Factor polynomials

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Q. Factor completely.

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81 p^{8}-100=

Identify Expression Type: Step Title: Identify the Type of Expression $\newline$ Concise Step Description: Determine the type of expression to factor. $\newline$ Step Calculation: The expression is a difference of squares because it is in the form of $a^2 - b^2$ , where $a = 81p^{8}$ and $b = 100$ .
Find Square Roots: Step Title: Find the Square Roots $\newline$ Concise Step Description: Find the square roots of the terms in the difference of squares. $\newline$ Step Calculation: The square root of $81p^{8}$ is $9p^{4}$ and the square root of $100$ is $10$ .
Write Factored Form: Step Title: Write the Factored Form $\newline$ Concise Step Description: Express the difference of squares as the product of two binomials. $\newline$ Step Calculation: The factored form is $(9p^{4} + 10)(9p^{4} - 10)$ .