Factorize each of the following expression:

Question:

Factorize each of the following expression:
x4 − 1

Solution:

$x^{4}-1$

$=\left(x^{2}\right)^{2}-1$

$=\left(x^{2}+1\right)\left(x^{2}-1\right)$

$=\left(x^{2}+1\right)(x+1)(x-1)$

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