1. **State the problem:** Simplify the expression $$\frac{2x^2}{x^2} - \frac{x^2 + 25x}{x^2}$$. 2. **Recall the rule:** When subtracting fractions with the same denominator, subtract the numerators and keep the denominator the same: $$\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}$$. 3. **Apply the rule:** $$\frac{2x^2}{x^2} - \frac{x^2 + 25x}{x^2} = \frac{2x^2 - (x^2 + 25x)}{x^2}$$. 4. **Simplify the numerator:** $$2x^2 - (x^2 + 25x) = 2x^2 - x^2 - 25x = x^2 - 25x$$. 5. **Rewrite the expression:** $$\frac{x^2 - 25x}{x^2}$$. 6. **Factor the numerator:** $$x^2 - 25x = x(x - 25)$$. 7. **Simplify the fraction:** $$\frac{x(x - 25)}{x^2} = \frac{x(x - 25)}{x \cdot x} = \frac{x - 25}{x}$$, assuming $x \neq 0$ to avoid division by zero. **Final answer:** $$\frac{x - 25}{x}$$