Question

question
factor completely.
$25x^{2}-144$

Explanation:

Step1: Recognize difference - of - squares

The expression $25x^{2}-144$ is in the form $a^{2}-b^{2}$, where $a = 5x$ and $b = 12$.

Step2: Apply difference - of - squares formula

The formula for $a^{2}-b^{2}$ is $(a + b)(a - b)$. Substituting $a = 5x$ and $b = 12$ gives $(5x+12)(5x - 12)$.

Answer:

$(5x + 12)(5x-12)$