Factor e^(2x)-1

$e^{2 x} - 1$

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

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

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

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

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = e^{x}$ and $b = 1$ .

$(e^{x} + 1) (e^{x} - 1)$

Factor e^(2x)-1

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