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, subtract them by subtracting 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

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