Solve 1/x+x-1

$$\frac { 1 } { x } + x - 1$$

Evaluate

$$x-1+\frac{1}{x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x-1 times \frac{x}{x}.

$$\frac{1}{x}+\frac{\left(x-1\right)x}{x}$$

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

$$\frac{1+\left(x-1\right)x}{x}$$

Do the multiplications in 1+\left(x-1\right)x.

$$\frac{1+x^{2}-x}{x}$$

Factor

$$\frac{x^{2}-x+1}{x}$$