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Find factor for 16n^4-1

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Final answer:

The factors of 16n^4-1 are (2n-1)(2n+1)(4n^2+1).

Step-by-step explanation:

To find the factors of the expression 16n^4-1, we can use the difference of squares formula. First, we can rewrite the expression as (4n^2-1)(4n^2+1). The first factor, 4n^2-1, can be further factored as (2n-1)(2n+1) using the difference of squares formula. Therefore, the factors of 16n^4-1 are (2n-1)(2n+1)(4n^2+1).

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