Factors of $p^{4} - 81$ are

(p - 3)

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(p + 3)

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(p - 9)

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(p^{2} + 9)

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Solution

The correct options are
A $(p - 3)$
B $(p + 3)$
D $(p^{2} + 9)$
$p^{4} - 81$
$= (p^{2})^{2} - (3^{2})^{2}$
$= (p^{2} + 3^{2}) (p^{2} - 3^{2})$
$= (p^{2} + 9) (p + 3) (p - 3)$

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