SOLUTION: Add or subtract as indicated. Express your result in simplest form. 4y/y^2 + 6y + 5 + 2y/y^2 - 1 Thank You!!!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add or subtract as indicated. Express your result in simplest form. 4y/y^2 + 6y + 5 + 2y/y^2 - 1 Thank You!!!!      Log On


   



Question 44385: Add or subtract as indicated. Express your result in simplest form.
4y/y^2 + 6y + 5 + 2y/y^2 - 1

Thank You!!!!

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
First, get rid of the fractions by multiplying the entire equation by a common denominator. In this case the common denominator is "y^2"
.
y^2(4y/y^2 + 6y + 5 + 2y/y^2 - 1)
(y^2)(4y/y^2) + (y^2)(6y) + (y^2)(5) + (y^2)(2y/y^2) - (y^2)(1)
.
Cancel wherever possible; combine like-terms and simplify:
4y + 6y^3 + 5y^2 + 2y - y^2
.
6y + 6y^3 + 4y^2
.
Rearrange terms in ascending order by degree:
6y^3 + 4y^2 + 6y