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Factors of Algebraic Expressions and Factorisation

Factorize usi...

Question

Factorize using identities
$t^{4} - 625$

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Solution

$t^{4} - 256$
$= t^{4} - 16^{2}$
$= (t^{2} - 16) (t^{2} + 16)$
$= (t^{2} - 4^{2}) (t^{2} + 16)$
$= (t - 4) (t + 4) (t^{2} + 16)$

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