Solve 4+x^2/x^8-1/x^6

$$\frac { 4 + x ^ { 2 } } { x ^ { 8 } } - \frac { 1 } { x ^ { 6 } }$$

Evaluate

$$\frac{4}{x^{8}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{8} and x^{6} is x^{8}. Multiply \frac{1}{x^{6}} times \frac{x^{2}}{x^{2}}.

$$\frac{4+x^{2}}{x^{8}}-\frac{x^{2}}{x^{8}}$$

Since \frac{4+x^{2}}{x^{8}} and \frac{x^{2}}{x^{8}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4+x^{2}-x^{2}}{x^{8}}$$

Combine like terms in 4+x^{2}-x^{2}.

$$\frac{4}{x^{8}}$$

Expand

$$\frac{4}{x^{8}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{8} and x^{6} is x^{8}. Multiply \frac{1}{x^{6}} times \frac{x^{2}}{x^{2}}.

$$\frac{4+x^{2}}{x^{8}}-\frac{x^{2}}{x^{8}}$$

Since \frac{4+x^{2}}{x^{8}} and \frac{x^{2}}{x^{8}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4+x^{2}-x^{2}}{x^{8}}$$

Combine like terms in 4+x^{2}-x^{2}.

$$\frac{4}{x^{8}}$$