Question

please help asapp 25 pts

Answer 1

$\frac{x^{2}-2x-24}{x^{2}-5x-36} = \frac{(x-6)(x+4)}{(x-9)(x+4)} = \frac{x-6}{x-9} Answer is A.$

Answer 2

$\dfrac{x^2-2x-24}{x^2-5x-36}=\dfrac{x^2-6x+4x-24}{x^2-9x+4x-36}\\\\=\dfrac{x(x-6)+4(x-6)}{x(x-9)+4(x-9)}=\dfrac{(x-6)(x+4)}{(x-9)(x+4)}\\\\=\boxed{Answer:\ \dfrac{x-6}{x-9}}$