Solve 2x/x^2+1-2

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x^{2}+1}{x^{2}+1}.

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

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

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

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

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

Factor

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