Answer:
D.
Explanation:
Simplify the numerator and denominator separately. Let's do the numerator first. In the numerator, we have:
. We can factor this.
(I did this by picking two numbers that multiply to -9 and add to -8. -9 and 1 are the only possible candidates).
Now, let's simplify the denominator. The denominator is:
![5x^2-45x=5x(x-9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/9xsv22bh0b294ny6xjzwgfcf4z63zimbso.png)
Thus, all together we will have:
![((x-9)(x+1))/(5x(x-9))](https://img.qammunity.org/2021/formulas/mathematics/high-school/wcq12d67rwtbtb5zkx256i7lpriw1qg4yg.png)
We can cancel the (x-9) term. Thus:
![=(x+1)/(5x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/l5jo4864eshu65lj0sc0gnnstnde74jsav.png)