The problem asks us to simplify the expression $(\sqrt{4x+5} - 5)^2$. We need to multiply out the expression and simplify it. We are told that all variables represent nonnegative numbers.

1. Problem Description

The problem asks us to simplify the expression $(\sqrt{4x+5} - 5)^2$. We need to multiply out the expression and simplify it. We are told that all variables represent nonnegative numbers.

2. Solution Steps

We expand the square:

$(\sqrt{4x+5} - 5)^2 = (\sqrt{4x+5} - 5)(\sqrt{4x+5} - 5)$

$= (\sqrt{4x+5})(\sqrt{4x+5}) - 5\sqrt{4x+5} - 5\sqrt{4x+5} + (-5)(-5)$

$= 4x+5 - 10\sqrt{4x+5} + 25$

$= 4x + 30 - 10\sqrt{4x+5}$

Therefore, $(\sqrt{4x+5} - 5)^2 = 4x + 30 - 10\sqrt{4x+5}$.

3. Final Answer

$4x + 30 - 10\sqrt{4x+5}$