You may have tried to divide term by term, but this is the incorrect order of operations. Multiply the numerator and denominator by the LCD of all of the terms:

$\displaystyle\frac{{{1}+\frac{{3}}{{x}}-\frac{{10}}{{{x}}^{{2}}}}}{{{1}-\frac{{1}}{{x}}-\frac{{30}}{{{{x}}^{{2}}}}}}\cdot\frac{{{{x}}^{{2}}}}{{{{x}}^{{2}}}}\usepackage{cmbright}\Huge\$

Distribute the $\displaystyle{{x}}^{{2}}\usepackage{cmbright}\Huge\$ to all the terms. The expression will no longer be complex and can be simplified by factoring and identifying common factors.