SOLUTION: (y^2 + 4y - 5)/ y^2 - 25 ----------- y + 7

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (y^2 + 4y - 5)/ y^2 - 25 ----------- y + 7      Log On


   



Question 302401: (y^2 + 4y - 5)/ y^2 - 25
------------
y + 7

Answer by london maths tutor(243) About Me  (Show Source):
You can put this solution on YOUR website!
Factorise: (y^2 + 4y - 5) = (y + 5)(y - 1)
Factorise: (y^2 - 25) = (y+5)(y-5)
Therefore,
%28y+%2B+5%29%28y+-+1%29÷%28%28y%2B5%29%28y-5%29%2F%28y%2B7%29%29

%28y+%2B+5%29%28y+-+1%29*%28%28y%2B7%29%2F%28y%2B5%29%28y-5%29%29
cancel out (y+5)

%28%28y+-+1%29%28y%2B7%29%29%2F%28y-5%29%29