Factor x^2y^2-1 - MathMaster

$x^{2} y^{2} - 1$

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

${(x y)}^{2} - 1$

Rewrite $1$ as $1^{2}$ .

${(x y)}^{2} - 1^{2}$

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 $b = 1$ .

$(x y + 1) (x y - 1)$

Factor x^2y^2-1

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