Factor x^2y^2-121

$x^{2} y^{2} - 121$

Step 1

Rewrite $x^{2} y^{2}$ as ${(x y)}^{2}$ .

${(x y)}^{2} - 121$

Step 2

Rewrite $121$ as $11^{2}$ .

${(x y)}^{2} - 11^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x y$ and $b = 11$ .

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

Factor x^2y^2-121

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