Verified Answer :

X^2 - 12x + 35/x^2 - 3x -10

=4^2 - 15x^3 - 10x^2+35 / x^2

\(\frac{ x^{2} -12x+35}{x^{2}-3x-10}\) simplifies to
 \(\frac{(x-5)(x-7)}{(x-5)(x+2)}\\ \frac{x-7}{x+2}\)
So the most simplified version of \(\frac{ x^{2} -12x+35}{x^{2}-3x-10}\) is \(\frac{x-7}{x+2}\).