1. The problem is to simplify the expression $$\frac{p^2 - 100}{p + 10}$$. 2. We recognize that the numerator is a difference of squares: $$p^2 - 100 = p^2 - 10^2$$. 3. The difference of squares formula is $$a^2 - b^2 = (a - b)(a + b)$$. 4. Applying this formula, we factor the numerator: $$p^2 - 100 = (p - 10)(p + 10)$$. 5. Substitute back into the original expression: $$\frac{(p - 10)(p + 10)}{p + 10}$$. 6. Since $$p + 10$$ appears in both numerator and denominator, and assuming $$p \neq -10$$ to avoid division by zero, we can cancel $$p + 10$$: $$\frac{(p - 10)\cancel{(p + 10)}}{\cancel{p + 10}} = p - 10$$. 7. Therefore, the simplified form of the expression is $$p - 10$$. Final answer: $$p - 10$$.