Question

question
factor completely.
$121y^{2}-x^{4}$

Explanation:

Step1: Recognize difference of squares

Rewrite terms as perfect squares:
$121y^2 - x^4 = (11y)^2 - (x^2)^2$

Step2: Apply difference of squares formula

Use $a^2 - b^2 = (a-b)(a+b)$:
$(11y)^2 - (x^2)^2 = (11y - x^2)(11y + x^2)$

Answer:

$(11y - x^2)(11y + x^2)$