Solve 2x+1/x^2+1

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

Evaluate

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

Short Solution Steps

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

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

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

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

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

$$\frac{2x^{3}+x^{2}+1}{x^{2}}$$

Factor

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