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Factorisation Using Algebraic Identities

ii Factorise ...

Question

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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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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