## anonymous one year ago Find the sum Y/y^2-2y+1 + 6/y^2+6y-7

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1. anonymous

Do you want me to explain it to you after I solve it? What part of the question do you need help on?

2. anonymous

$\frac{ y }{ y^2-2y+1 }+\frac{ 6 }{ y^2+6y-7 }$Is this the question?

3. anonymous

Yes that's the question and please explain too

4. anonymous

Alright. Do you know how to factor?

5. rhr12
6. anonymous

Yes

7. rhr12

take a look there

8. anonymous

Okay here are the steps then:$\frac{ y }{ (y-1)^2 }+\frac{ 6 }{ (y-1)(y+7) }$

9. anonymous

Do you know how I got to that?

10. anonymous

Are you still there?

11. Zale101

Every time i deal with quotients adding together (even for fraction) i always abide by this rule: $$\LARGE \frac{A}{B}+\frac{C}{D}$$ $$\Large\frac{A*D+C*B}{B*D}$$

12. anonymous

Next step:$(y-1)(\frac{ y }{ (y-1)^2 }+\frac{ 6 }{ (y-1)(y+7) })$

13. anonymous

$\frac{ y }{ (y-1) }+\frac{ 6 }{ (y+7) }$

14. anonymous

That would be the sum. You can still go further if you are trying to solve for y.