Rewrite $ 4y^{2}-81 $ as:
$$ 4y^{2}-81 = (2y)^2 - (9)^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 2y $ and $ II = 9 $ , we have:
$$ 4y^{2}-81 = (2y)^2 - (9)^2 = ( 2y-9 ) ( 2y+9 ) $$