Solve x^2+y^2divx+y

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

Evaluate

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

Short Solution Steps

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

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

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

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

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

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

Factor

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