Question

factor
25 - 64w^{2}

Explanation:

Step1: Recognize difference - of - squares

The expression $25 - 64w^{2}$ is in the form $a^{2}-b^{2}$, where $a = 5$ and $b = 8w$.

Step2: Apply difference - of - squares formula

The formula for $a^{2}-b^{2}$ is $(a + b)(a - b)$. Substituting $a = 5$ and $b=8w$, we get $(5 + 8w)(5 - 8w)$.

Answer:

$(5 + 8w)(5 - 8w)$