N° 3 Espressioni Algebriche

${[(\frac{2}{x} + \frac{x}{2} + 1) : (\frac{1}{2} + x)]}^{2} : {(\frac{8 - x^{3}}{4 - x^{2}})}^{2} =$

$= {((\frac{4 + x^{2} + 2 x}{2 x}) : (\frac{1 + 2 x}{2}))}^{2} : {(\frac{(2 - x) (4 + 2 x + x^{2})}{(2 - x) (2 + x)})}^{2} =$

$= {((\frac{4 + x^{2} + 2 x}{2 x}) \cdot (\frac{2}{1 + 2 x}))}^{2} : {(\frac{4 + 2 x + x^{2}}{2 + x})}^{2} =$

$= {(\frac{4 + x^{2} + 2 x}{2 x} \cdot \frac{2}{1 + 2 x} \cdot \frac{2 + x}{4 + 2 x + x^{2}})}^{2} =$

$= {(\frac{2 + x}{x + 2 x^{2}})}^{2}$