1. The problem is to simplify the expression $$\frac{p^2 - 100}{p + 10}$$. 2. Recognize that the numerator is a difference of squares: $$p^2 - 100 = (p - 10)(p + 10)$$. 3. Substitute the factorization into the expression: $$\frac{(p - 10)(p + 10)}{p + 10}$$. 4. Since $$p + 10 \neq 0$$, we can cancel $$p + 10$$ in numerator and denominator: $$p - 10$$. 5. Therefore, the simplified expression is $$p - 10$$, valid for $$p \neq -10$$ to avoid division by zero. Final answer: $$p - 10$$.