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\frac{16z^{2}-25}{16}
Factor out \frac{1}{16}.
\left(4z-5\right)\left(4z+5\right)
Consider 16z^{2}-25. Rewrite 16z^{2}-25 as \left(4z\right)^{2}-5^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{\left(4z-5\right)\left(4z+5\right)}{16}
Rewrite the complete factored expression.