Solve 4/x^7-7/x^7+x

$$\frac { 4 } { x ^ { 7 } } - \frac { 7 } { x ^ { 7 } } + x$$

Evaluate

$$x-\frac{3}{x^{7}}$$

Short Solution Steps

Since \frac{4}{x^{7}} and \frac{7}{x^{7}} have the same denominator, subtract them by subtracting their numerators. Subtract 7 from 4 to get -3.

$$\frac{-3}{x^{7}}+x$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{x^{7}}{x^{7}}.

$$\frac{-3}{x^{7}}+\frac{xx^{7}}{x^{7}}$$

Since \frac{-3}{x^{7}} and \frac{xx^{7}}{x^{7}} have the same denominator, add them by adding their numerators.

$$\frac{-3+xx^{7}}{x^{7}}$$

Do the multiplications in -3+xx^{7}.

$$\frac{-3+x^{8}}{x^{7}}$$

Factor

$$\frac{x^{8}-3}{x^{7}}$$