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

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

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 $b = y$ .

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

Simplify terms.

Factor $x$ out of $x^{2} + x y$ .

Factor $x$ out of $x^{2}$ .

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

Factor $x$ out of $x y$ .

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

Factor $x$ out of $x \cdot x + x (y)$ .

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

Cancel the common factor of $x + y$ .

Cancel the common factor.

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

Rewrite the expression.

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