Factorise:
$m^{4} - 256$

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Solution

$m^{4} - 256$

$= {(m^{2})}^{2} - {(16)}^{2}$

$= (m^{2} - 16) (m^{2} + 16)$

$= (m^{2} - 4^{2}) (m^{2} + 16)$

$= (m - 4) (m + 4) (m^{2} + 16)$

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