Factorise:
$a^{4} - b^{4}$

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Solution

$a^{4} - b^{4} = (a^{2})^{2} - (b^{2})^{2} = (a^{2} - b^{2}) (a^{2} + b^{2}) = (a - b) (a + b) (a^{2} + b^{2})$

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