Factor the binomial completely. Select "Prime" if the polynomial cannot be factored. \( r^{2}-36=\square \)

The expression \( r^2 - 36 \) is a difference of squares. It can be factored using the formula \( a^2 - b^2 = (a - b)(a + b) \), where \( a = r \) and \( b = 6 \). Thus, \( r^2 - 36 = (r - 6)(r + 6) \). Another fun fact about factoring is that the difference of squares shows up in various areas of mathematics, from algebra to geometry! It's like a mathematical secret that helps you break down complex expressions into simpler components, making calculations easier and more intuitive. So, next time you see \( a^2 - b^2 \), you can confidently factor it! To avoid common pitfalls, remember to always check if the binomial is indeed a difference of squares. Sometimes, adding a term or missing a sign can lead you astray! If unsure, look for perfect squares or apply the process step-by-step to ensure you're not rushing through your factoring adventures!