Solve x^2+4/x^2

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

Evaluate

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

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}}.

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

Since \frac{x^{2}x^{2}}{x^{2}} and \frac{4}{x^{2}} have the same denominator, add them by adding their numerators.

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

Do the multiplications in x^{2}x^{2}+4.

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

Factor

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