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

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

Step 1

To write $x$ as a fraction with a common denominator, multiply by $\frac{x + y}{x + y}$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify the numerator.

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

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

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

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

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

Subtract $x$ from $x$ .

$\frac{x (y + 0)}{x + y}$

Add $y$ and $0$ .

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