Check my answer? Simplifying?

Question

anonymous · Answer

I got C but im not sure think I messed up

anonymous · Answer

@Jhannybean is the common denominator 44?

jhannybean · Answer

How did you get that?

anonymous · Answer

I multiplied them all together and got 144, which didn't seem right but I saw 44 as the deonominator one of the answer choices in C

anonymous · Answer

@Jhannybean I keep getting 144 :/

jhannybean · Answer

Btw,I read the second fraction as $(a-8)$ instead of $(a-6)$. Just reaized that, sorry.

anonymous · Answer

Kind of just confused now

jhannybean · Answer

$$\color{red}{\frac{3a}{a^2-9a+18} - \frac{2}{a-6}}$$
$$\small \begin{align}
\frac{3a}{(a-6)(a-3)}-\frac{2\color{red}{(a-3)}}{(a-6)\color{red}{(a-3)}}  \ 
&= \frac{3a-2(a-3)}{(a-6)(a-3)} \
&=\frac{3a-2a+6}{a^2-9a+18} \
&=~?
\end{align}$$

jhannybean · Answer

Sorry for the confusion earlier.

All you have to do is make the second fraction have a common denominator with the first fraction, then you can combine them together and simplify.

Does that make sense @JoeJoldin ?

anonymous · Answer

@Jhannybean Starting to yeah, does that mean answer is A?

jhannybean · Answer

You got it :)

anonymous · Answer

thank you oso much @Jhannybean

jhannybean · Answer

No problem @JoeJoldin :)