Question

Find the sum
Y/y^2-2y+1 + 6/y^2+6y-7

Answer 1

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

Answer 2

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

Answer 3

Yes that's the question and please explain too

Answer 4

Alright. Do you know how to factor?

Answer 5

http://www.tiger-algebra.com/drill/(y)/(y~2-2y_1)_(6)/(y~2_6y-7)/

Answer 6

Yes

Answer 7

take a look there

Answer 8

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

Answer 9

Do you know how I got to that?

Answer 10

Are you still there?

Answer 11

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

\(\Large\frac{A*D+C*B}{B*D}\)

Answer 12

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

Answer 13

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

Answer 14

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