Solve 1-x^2/x^8+1+x/x^6-1/x^5=

$$\frac { 1 - x ^ { 2 } } { x ^ { 8 } } + \frac { 1 + x } { x ^ { 6 } } - \frac { 1 } { x ^ { 5 } } =$$

Evaluate

$$\frac{1}{x^{8}}$$

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}{x^{6}} times \frac{x^{2}}{x^{2}}.

$$\frac{1-x^{2}}{x^{8}}+\frac{\left(1+x\right)x^{2}}{x^{8}}-\frac{1}{x^{5}}$$

Since \frac{1-x^{2}}{x^{8}} and \frac{\left(1+x\right)x^{2}}{x^{8}} have the same denominator, add them by adding their numerators.

$$\frac{1-x^{2}+\left(1+x\right)x^{2}}{x^{8}}-\frac{1}{x^{5}}$$

Do the multiplications in 1-x^{2}+\left(1+x\right)x^{2}.

$$\frac{1-x^{2}+x^{2}+x^{3}}{x^{8}}-\frac{1}{x^{5}}$$

Combine like terms in 1-x^{2}+x^{2}+x^{3}.

$$\frac{1+x^{3}}{x^{8}}-\frac{1}{x^{5}}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{8} and x^{5} is x^{8}. Multiply \frac{1}{x^{5}} times \frac{x^{3}}{x^{3}}.

$$\frac{1+x^{3}}{x^{8}}-\frac{x^{3}}{x^{8}}$$

Since \frac{1+x^{3}}{x^{8}} and \frac{x^{3}}{x^{8}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1+x^{3}-x^{3}}{x^{8}}$$

Combine like terms in 1+x^{3}-x^{3}.

$$\frac{1}{x^{8}}$$

Expand

$$\frac{1}{x^{8}}$$

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}{x^{6}} times \frac{x^{2}}{x^{2}}.

$$\frac{1-x^{2}}{x^{8}}+\frac{\left(1+x\right)x^{2}}{x^{8}}-\frac{1}{x^{5}}$$

Since \frac{1-x^{2}}{x^{8}} and \frac{\left(1+x\right)x^{2}}{x^{8}} have the same denominator, add them by adding their numerators.

$$\frac{1-x^{2}+\left(1+x\right)x^{2}}{x^{8}}-\frac{1}{x^{5}}$$

Do the multiplications in 1-x^{2}+\left(1+x\right)x^{2}.

$$\frac{1-x^{2}+x^{2}+x^{3}}{x^{8}}-\frac{1}{x^{5}}$$

Combine like terms in 1-x^{2}+x^{2}+x^{3}.

$$\frac{1+x^{3}}{x^{8}}-\frac{1}{x^{5}}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{8} and x^{5} is x^{8}. Multiply \frac{1}{x^{5}} times \frac{x^{3}}{x^{3}}.

$$\frac{1+x^{3}}{x^{8}}-\frac{x^{3}}{x^{8}}$$

Since \frac{1+x^{3}}{x^{8}} and \frac{x^{3}}{x^{8}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1+x^{3}-x^{3}}{x^{8}}$$

Combine like terms in 1+x^{3}-x^{3}.

$$\frac{1}{x^{8}}$$