## steve816 one year ago This is an algebra 2 question that requires some skill, but help would be greatly appreciated!

1. steve816

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

2. steve816

3. anonymous

Looking for someone to walk you through it?

4. steve816

Well, actually jsut the answer to the simplified equation would be good enough!

5. anonymous

that's why I asked. We're not allowed to give answers here as it doesn't really benefit anyone. http://openstudy.com/code-of-conduct If you just want the answer try an online calculator like wolframalpha.com

6. steve816

Well then please go ahead and walk me through, that would be still great.

7. bmmoffattb

8. bmmoffattb

(x/x^2-1) + (2/x) + (x+1/x^3-x^2) =(x^-1/-1) + (2/x) + (x^-4 +1)

9. bmmoffattb

=(x^-1/-1) + (2x^-1) + (x^-4 +1)

10. bmmoffattb

=(x^-1/-1) + 2x^-5 +1

11. bmmoffattb

Not sure what to do from there. It's been a couple years since I've done Algebra 2.

12. bmmoffattb

I'm sure there are laws that tell you what to do.

13. anonymous

Factor the third denominator to get $x^2(x-1)$

14. anonymous

So now the 3 denominators are (x- 1)², x, and x²(x -1) the least common denominator needs to have the maximum of each factor. So we need both x and (x -1) twice LCD = $$x^2(x-1)^2$$

15. anonymous

To make all 3 fraction match the LCD you have to multiply them by different factors. Multiply the first by $\frac{ x^2 }{ x^2 }$ Multiply the 2nd by $\frac{ x(x-1)^2 }{ x(x-1)^2 }$ Multiply the 3rd by $\frac{ x-1 }{ x-1 }$

16. anonymous

the problem is now$\frac{ x(x^2) }{ x^2(x-1)^{2} }+\frac{ 2x(x-1) }{ x(x)(x-1) }-\frac{ (x+1)(x-1) }{ x^2(x-1)^2 }$

17. anonymous

$\frac{ x^2+2x(x-1)-(x+1)(x-1) }{ x^2(x-1)^2 }$ Simplify the numerator and see if anything cancels with the denominator after