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

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{7} and x^{4} is x^{7}. Multiply \frac{7}{x^{4}} times \frac{x^{3}}{x^{3}}.

$$\frac{4}{x^{7}}-\frac{7x^{3}}{x^{7}}+x$$

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

$$\frac{4-7x^{3}}{x^{7}}+x$$

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

$$\frac{4-7x^{3}}{x^{7}}+\frac{xx^{7}}{x^{7}}$$

Since \frac{4-7x^{3}}{x^{7}} and \frac{xx^{7}}{x^{7}} have the same denominator, add them by adding their numerators.

$$\frac{4-7x^{3}+xx^{7}}{x^{7}}$$

Do the multiplications in 4-7x^{3}+xx^{7}.

$$\frac{4-7x^{3}+x^{8}}{x^{7}}$$

Factor

$$\frac{x^{8}-7x^{3}+4}{x^{7}}$$