Question:
$x^{4}-625$
Solution:
$x^{4}-625$
$=\left(x^{2}\right)^{2}-25^{2}$
$=\left(x^{2}+25\right)\left(x^{2}-25\right) \quad\left[a^{2}-b^{2}=(a+b)(a-b)\right]$
$=\left(x^{2}+25\right)\left(x^{2}-5^{2}\right)$
$=\left(x^{2}+25\right)(x+5)(x-5) \quad\left[a^{2}-b^{2}=(a+b)(a-b)\right]$
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