Simplify (x^2-y^2)/((x-y)^2)

$\frac{x^{2} - y^{2}}{{(x - y)}^{2}}$

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

$\frac{(x + y) (x - y)}{{(x - y)}^{2}}$

Cancel the common factor of $x - y$ and ${(x - y)}^{2}$ .

Factor $x - y$ out of $(x + y) (x - y)$ .

$\frac{(x - y) (x + y)}{{(x - y)}^{2}}$

Cancel the common factors.

Factor $x - y$ out of ${(x - y)}^{2}$ .

$\frac{(x - y) (x + y)}{(x - y) (x - y)}$

Cancel the common factor.

$\frac{(x - y) (x + y)}{(x - y) (x - y)}$

Rewrite the expression.

$\frac{x + y}{x - y}$