Factorize each of the following expression:x4 − 1
$x^{4}-1$
$=\left(x^{2}\right)^{2}-1$
$=\left(x^{2}+1\right)\left(x^{2}-1\right)$
$=\left(x^{2}+1\right)(x+1)(x-1)$
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