Solve x^2+x^2/1+x^2

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

Evaluate

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

Short Solution Steps

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

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

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

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

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

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

Combine like terms in x^{2}+x^{4}+x^{2}.

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

Factor

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