The problem is to factor the expression $x^3 + 125$.

1. Problem Description

The problem is to factor the expression $x^3 + 125$.

2. Solution Steps

We can rewrite $125$ as $5^3$. Therefore, the expression is $x^3 + 5^3$. This is a sum of cubes. The formula for the sum of cubes is:

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

In our case, $a = x$ and $b = 5$.

Substituting $a=x$ and $b=5$ into the sum of cubes formula, we get:

$x^3 + 5^3 = (x + 5)(x^2 - x(5) + 5^2) = (x + 5)(x^2 - 5x + 25)$.

3. Final Answer

$(x+5)(x^2-5x+25)$