1. The problem asks us to find an expression equivalent to $x^3 - 125$. 2. Recognize that $x^3 - 125$ is a difference of cubes since $125 = 5^3$. 3. The formula for the difference of cubes is: $$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$$ where $a = x$ and $b = 5$. 4. Applying the formula: $$x^3 - 5^3 = (x - 5)(x^2 + 5x + 25)$$ 5. Therefore, the expression equivalent to $x^3 - 125$ is: $$(x - 5)(x^2 + 5x + 25)$$ 6. Comparing with the options, this matches option B. Final answer: B