Answer
$(5y+6)(5y-6)$
Work Step by Step
Using the factoring of the difference of $2$ squares which is given by $a^2-b^2=(a+b)(a-b),$ the given $\text{
expression,
}$ $
25y^2-36
,$ is equivalent to
\begin{align*}
&
(5y)^2-(6)^2
\\&=
(5y+6)(5y-6)
\end{align*}