Factors of p^4-81 are

Given:

To find factors of p<sup>4</sup>-81

Solution:

p<sup>4</sup>-81

=(p<sup>2</sup>)<sup>2</sup>-(3<sup>2</sup>)<sup>2</sup>

=(p<sup>2</sup>+3<sup>2</sup>)(p<sup>2</sup>-3<sup>2</sup>)

=(p<sup>2</sup>+9)(p+3)(p-3)

Therefore, the factors are (p<sup>2</sup>+9)(p+3)(p-3)

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