I had thought that the common denominator was x-1, but this gives a wrong answer...How do I do the following question correctly?
3/x-1 - 1/x + 2
It looked easy enough..
Isn't the case that $\displaystyle \frac{1}{2}$ and $\displaystyle \frac{1}{3}$ have different denominators? Analogously, isn't $\displaystyle x-1$ a different number than $\displaystyle x$? So, since they are different, don't we need a common denominator?
What's the first thing that $\displaystyle x$ and $\displaystyle x-1$ will go into? Isn't it $\displaystyle x(x-1)$?