Solve 2x-y-2x-y^2/y

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

Evaluate

$$\frac{2x\left(y-1\right)}{y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2x-y times \frac{y}{y}.

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

Since \frac{\left(2x-y\right)y}{y} and \frac{2x-y^{2}}{y} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in \left(2x-y\right)y-\left(2x-y^{2}\right).

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

Combine like terms in 2xy-y^{2}-2x+y^{2}.

$$\frac{2xy-2x}{y}$$

Expand

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2x-y times \frac{y}{y}.

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

Since \frac{\left(2x-y\right)y}{y} and \frac{2x-y^{2}}{y} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in \left(2x-y\right)y-\left(2x-y^{2}\right).

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

Combine like terms in 2xy-y^{2}-2x+y^{2}.

$$\frac{2xy-2x}{y}$$