Question

Simplify the complex rational expression by the method of your choice.
1/x-2/1-1/x-2

Answer 1

I got 1/x-3

Answer 2

well start with the denominator

\[1 - \frac{1}{x -2}\]

you need a common denominator...

\[\frac{x -2}{x -2} - \frac{1}{x -2} \]

can you simplify this...?

Answer 3

the answer is what i typed

Answer 4

and your answer 1/(x-3) is correct.
if you need to, you can metion the restriction that x \(\ne 2\), because you cancelled x-2 from numerator and denominator.