N° 1 Espressioni Algebriche

${(\frac{6 x}{x^{2} - 9} + \frac{x}{x + 3} + \frac{3}{3 - x})}^{3} : {(\frac{x}{x - 2} + \frac{8}{4 - x^{2}} - \frac{2}{x + 2})}^{4} =$

$= {(\frac{6 x}{x^{2} - 9} + \frac{x}{x + 3} - \frac{3}{x - 3})}^{3} : {(\frac{x}{x - 2} - \frac{8}{x^{2} - 4} - \frac{2}{x + 2})}^{4} =$

$= {(\frac{6 x + x (x - 3) - 3 (x + 3)}{x^{2} - 9})}^{2} : {(\frac{x (x + 2) - 8 - 2 (x - 2)}{x^{2} - 4})}^{4} =$

$= {(\frac{6 x + x^{2} - 3 x - 3 x - 9}{x^{2} - 9})}^{2} : {(\frac{x^{2} + 2 x - 8 - 2 x + 4}{x^{2} - 4})}^{4} =$

$= {(\frac{x^{2} - 9}{x^{2} - 9})}^{2} : {(\frac{x^{2} - 4}{x^{2} - 4})}^{4} = 1$