\( \equiv 1 \quad \equiv 2 \quad \equiv 4: 50 \) Factor. \( \quad=2 \quad=6 \) \( w^{2}-25 \)

Let's dive into factoring \( w^{2} - 25 \). This expression is a classic example of the difference of squares, which can be factored using the formula \( a^{2} - b^{2} = (a - b)(a + b) \). In this case, we identify \( a = w \) and \( b = 5 \). Thus, we can rewrite the expression as \( (w - 5)(w + 5) \). Now, when you encounter expressions like this, remember that recognizing patterns can make the process smoother and quicker! Also, a common mistake is trying to factor incorrectly such as finding common factors where there are none. Just look for those perfect squares!