$\frac{x^2}{x^4+81}$
$\frac{x^2}{x^4+16}$
$\frac{\sqrt{x+2}-\sqrt{2}}{x}$
$\frac{x}{\left(1+4x\right)^2}$
$\left(x^3\right)\div\left(x^2-1\right)$
$\frac{2x^2-2y^2}{\sqrt[3]{x+y}}$
They are a group of techniques that help us rewrite polynomial expressions as a product of factors.
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