Question:
Factorize each of the following expression:
x4 − 625
Solution:
$x^{4}-625$
$=\left(x^{2}\right)^{2}-25^{2}$
$=\left(x^{2}+25\right)\left(x^{2}-25\right)$
$=\left(x^{2}+25\right)\left(x^{2}-5^{2}\right)$
$=\left(x^{2}+25\right)(x+5)(x-5)$
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