SOLUTION: Perform the operation. Assume that no denominators are 0. (Simplify your answer completely.) y-7 / y^2 - y+7 / 4y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the operation. Assume that no denominators are 0. (Simplify your answer completely.) y-7 / y^2 - y+7 / 4y       Log On


   



Question 1128817: Perform the operation. Assume that no denominators are 0. (Simplify your answer completely.)
y-7 / y^2 - y+7 / 4y

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
common denominator is 4y^2
first term is (4*(y-7)) or 4y-28
subtract
second term is y(y+7) or y^2+7y
4y-28-y^2-7y
-y^2-3y-28 is numerator or -(y^2+3y+28)
answer is -(y^2+3y+28/(4y^2) ANSWER
Can check with y=8
(1/64)-15/32=-29/64
-116/256, which is -29/64