Solve x^6-y^6divx-y

$$x ^ { 6 } - y ^ { 6 } \div x - y$$

Evaluate

$$x^{6}-\frac{y^{6}}{x}-y$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{6}-y times \frac{x}{x}.

$$\frac{\left(x^{6}-y\right)x}{x}-\frac{y^{6}}{x}$$

Since \frac{\left(x^{6}-y\right)x}{x} and \frac{y^{6}}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(x^{6}-y\right)x-y^{6}}{x}$$

Do the multiplications in \left(x^{6}-y\right)x-y^{6}.

$$\frac{x^{7}-yx-y^{6}}{x}$$

Factor

$$\frac{x^{7}-xy-y^{6}}{x}$$