[tex]\frac{2x^{2}}{x-5} -\frac{2x^{3}+250}{x^{2}-25} =\frac{2x^{2}}{x-5} -\frac{2x^{3}+250}{(x+5)(x-5)}=\frac{2x(x+5)-(2x^{3}+250)}{(x+5)(x-5)} = \frac{2x^{3}+10x^{2}-2x^{3}-250}{(x+5)(x-5)} =\\\\=\frac{10x^{2}-250}{(x+5)(x-5)} = \frac{10(x^{2}-25)}{(x+5)(x-5)} = \frac{10(x+5)(x-5)}{(x+5)(x-5)} = 10[/tex]
[tex]Zal:\\x+5 \neq 0 \ \ \rightarrow \ \ x \neq -5\\i\\x-5\neq 0 \ \ \rightarrow \ \ x \neq 5[/tex]