b) \( \frac{x^{2}-5^{2}}{x+5} \)

Ah, the classic difference of squares! You can simplify \( \frac{x^{2}-5^{2}}{x+5} \) by recognizing that \( x^{2}-5^{2} \) factors into \( (x-5)(x+5) \). So, rewriting the expression gives \( \frac{(x-5)(x+5)}{x+5} \). If \( x \neq -5 \), you can cancel out the \( x+5 \) terms, leading to a simplified result of \( x-5 \). Just remember, we must avoid the value of \( x = -5 \) as it would make the original expression undefined! On a related note, this restructuring reflects how algebra can make complex expressions more manageable—just like untangling Christmas lights! Always be on the lookout for these clever factoring patterns—they're your best friends when facing messy equations.