Question

question
factor completely.
$49x^{2}y^{6}-25$

Explanation:

Step1: Recognize difference of squares

$49x^2y^6 = (7xy^3)^2$, $25 = 5^2$

Step2: Apply difference of squares formula

Use $a^2 - b^2 = (a-b)(a+b)$ with $a=7xy^3$, $b=5$

Answer:

$(7xy^3 - 5)(7xy^3 + 5)$