Solve 1/1+frac{x^2{2}}

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

Evaluate

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

Solution Steps

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

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

Since \frac{2}{2} and \frac{x^{2}}{2} have the same denominator, add them by adding their numerators.

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

Divide 1 by \frac{2+x^{2}}{2} by multiplying 1 by the reciprocal of \frac{2+x^{2}}{2}.

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

Factor

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