Factor 25-w^2

$25 - w^{2}$

Step 1

Rewrite $25$ as $5^{2}$ .

$5^{2} - w^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5$ and $b = w$ .

$(5 + w) (5 - w)$