help please?

Question

add and express in simplest form.



4y/y^2+6y+5 + 2y/y^2-1

Answer 1

First simplify the terms with y^2 in them, and get:

4/y + 6y + 5 + 2/y - 1

then, combine like terms, and get:

6/y + 6y + 4

Then, copy this answer to your homework without putting any thoght into whether or not it is right, becuase I know that is how you are going to learn and succeed.

Answer 2

4y/y^2+6y+5 + 2y/(y^2-1)
We need common denominators before we can add.
4y/y^2+6y+5=4y/(y+5)(y+1)
2y/(y^2-1)=2y/(y-1)(y+1)
The common denominator will be (y+5)(y+1)(y-1)
The addition problem can now be written as
4y(y-1) / (y+5)(y+1)(y-1) + 2y(y+5) / (y+5)(y+1)(y-1)
=4y(y-1) + 2y(y+5) / (y+5)(y+1)(y-1)
={4y^2-4y+2y^2+10y } / (y+5)(y+1)(y-1)
={6y^2+6y} / (y+5)(y+1)(y-1)
=6y(y+1) / (y+5)(y+1)(y-1)
= 6y/ (y+5)(y-1)

And that's it. Good luck.

Answer 3

4y / y^2+6y+5 + 2y / y^2-1

4y / y+5 y+1 +2y / y-1 y+1

lcd= y+5 y+1 y-1

4y(y-1) + 2y(y+1)
4y^2-4y+2y^2+2y
6y^2-2y = 2y(3y-1)

Answer 4

4y?y^2=4/y
6y=6y
5=5
2y/y^2=2/y
-1=-1


=>
4/y+6y+5+2/y-1=
4/y+2/y+6y+5-1=
6/y+6y+4=
6(1/y+y)+4