# Thread: Adding rational expressions

1. ## Adding rational expressions

I need a little help simplifying this problem.

=___ 1 ____ + x-1
(2x-1)(2x-1) (2x-1)

I can get this far, but then I get stuck.
I need to find the least common denomitor next and I think it's $(2x-1)(2x-1)$ but I'm not sure.

somehow this problem is supposed to equal

?

2. Originally Posted by Hypertension
I need a little help simplifying this problem.

=___ 1 ____ + x-1
(2x-1)(2x-1) (2x-1)

I can get this far, but then I get stuck.
I need to find the least common denomitor next and I think it's $(2x-1)(2x-1)$ but I'm not sure.
That is correct:

$\frac1{(2x - 1)^2} + \frac{x-1}{2x-1}$

$=\frac1{(2x - 1)^2} + \frac{(x-1)(2x - 1)}{(2x-1)(2x-1)}$

$=\frac{1 + (x-1)(2x - 1)}{(2x-1)^2}$

You can take it from here, yes?

3. Yep.

After multiplying I came up with:

$\frac{1+2x^2-3x+1}{(2x-1)^2}$

wich equals the answer

$\frac{2x^2-3x+2}{(2x-1)^2}$

Thank you