Solve y+3y/y-3

$$y + \frac { 3 y } { y - 3 }$$

Evaluate

$$\frac{y^{2}}{y-3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply y times \frac{y-3}{y-3}.

$$\frac{y\left(y-3\right)}{y-3}+\frac{3y}{y-3}$$

Since \frac{y\left(y-3\right)}{y-3} and \frac{3y}{y-3} have the same denominator, add them by adding their numerators.

$$\frac{y\left(y-3\right)+3y}{y-3}$$

Do the multiplications in y\left(y-3\right)+3y.

$$\frac{y^{2}-3y+3y}{y-3}$$

Combine like terms in y^{2}-3y+3y.

$$\frac{y^{2}}{y-3}$$

Factor

$$\frac{y^{2}}{y-3}$$