Solve y/x^2+x/y

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{2} and y is yx^{2}. Multiply \frac{y}{x^{2}} times \frac{y}{y}. Multiply \frac{x}{y} times \frac{x^{2}}{x^{2}}.

$$\frac{yy}{yx^{2}}+\frac{xx^{2}}{yx^{2}}$$

Since \frac{yy}{yx^{2}} and \frac{xx^{2}}{yx^{2}} have the same denominator, add them by adding their numerators.

$$\frac{yy+xx^{2}}{yx^{2}}$$

Do the multiplications in yy+xx^{2}.

$$\frac{y^{2}+x^{3}}{yx^{2}}$$

Factor

$$\frac{x^{3}+y^{2}}{yx^{2}}$$