Rewrite $ 4x^{2}-121 $ as:
$$ 4x^{2}-121 = (2x)^2 - (11)^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 2x $ and $ II = 11 $ , we have:
$$ 4x^{2}-121 = (2x)^2 - (11)^2 = ( 2x-11 ) ( 2x+11 ) $$