Factorize each of the following algebraic expression:

$25 x^{2}-10 x+1-36 y^{2}$

$=\left(25 x^{2}-10 x+1\right)-36 y^{2}$

$=\left[(5 x)^{2}-2 \times 5 x \times 1+1\right]-36 y^{2}$

$=(5 x-1)^{2}-(6 y)^{2}$

$=[(5 x-1)-6 y][(5 x-1)+6 y]$

$=(5 x-1-6 y)(5 x-1+6 y)$

$=(5 x-6 y-1)(5 x+6 y-1)$