Question 4(ii)
Factorise
$p^{4} - 81$

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Solution

$p^{4} - 81 = (p^{2})^{2} - (9)^{2} = (p^{2} - 9) (p^{2} + 9) = [(p)^{2} - (3)^{2}] (p^{2} + 9) = (p - 3) (p + 3) (p^{2} + 9)$

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Question 92 (xxiv)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$y^{4} - 81$

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