Factorize each of the following expression:25x4y4 − 1
$25 x^{4} y^{4}-1$
$=\left(5 x^{2} y^{2}\right)^{2}-1$
$=\left(5 x^{2} y^{2}-1\right)\left(5 x^{2} y^{2}+1\right)$
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