Solve x^2+1/x^2

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

Evaluate

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

Short Solution Steps

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

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

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

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

Do the multiplications in x^{2}x^{2}+1.

$$\frac{x^{4}+1}{x^{2}}$$

Factor

$$\frac{x^{4}+1}{x^{2}}$$