Simplify (a-b)/(a^2-b^2)

$\frac{a - b}{a^{2} - b^{2}}$

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

$\frac{a - b}{(a + b) (a - b)}$

Cancel the common factor of $a - b$ .

Cancel the common factor.

$\frac{a - b}{(a + b) (a - b)}$

Rewrite the expression.

$\frac{1}{a + b}$