Answer
$(2z+5)(2z-5)$
Work Step by Step
The expressions $
4z^2
$ and $
25
$ are both perfect squares (the square root is exact) and are separated by a minus sign. Hence, $
4z^2-25
,$ is a difference of $2$ squares. Using the factoring of the difference of $2$ squares which is given by $a^2-b^2=(a+b)(a-b),$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
(2z)^2-(5)^2
\\\\=
(2z+5)(2z-5)
.\end{array}