Question

$frac{25x^{2}-1}{25x^{2}-10x+1}$

Answer 1

$frac{25x^2 - 1}{25x^2 - 10x +1} = frac{(5x)^2 - 1^2}{(5x)^2-2*5x*1 +1^2} = frac{(5x-1)(5x+1)}{(5x-1)^2} = frac{(5x-1)(5x+1)}{(5x-1)(5x-1)} = frac{5x+1}{5x-1}$