Question

factor completely.
$64g^2 - 25$

Explanation:

Step1: Identify difference of squares

Recognize $64g^2 - 25$ as $a^2 - b^2$, where $a=8g$, $b=5$.

Step2: Apply difference of squares formula

Use $a^2 - b^2=(a+b)(a-b)$.
<Expression>
$64g^2 - 25=(8g+5)(8g-5)$
</Expression>

Answer:

$(8g + 5)(8g - 5)$