Выполните действия: (x^4+2x^2)/(x^2+2)-(x^3+8)/(x+2)-3.

\[\frac{x^{4} + 2x^{2}}{x^{2} + 2} - \frac{x^{3} + 8}{x + 2} - 3 =\]

\[= \frac{x^{2}\left( x^{2} + 2 \right)}{x^{2} + 2} - \frac{(x + 2)\left( x^{2} - 2x + 4 \right)}{x + 2} - 3 =\]

\[= x^{2} - x^{2} + 2x - 4 - 3 = 2x - 7.\]