SOLUTION: Directions : Add or subtract as indicated. Express your result in simplest form. #58 (3)/(x^2+4x+3) minus (1)/(x^2-9) #62 (4y)/(y^2+6y+5) plus (2y)/(y^2-1)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Directions : Add or subtract as indicated. Express your result in simplest form. #58 (3)/(x^2+4x+3) minus (1)/(x^2-9) #62 (4y)/(y^2+6y+5) plus (2y)/(y^2-1)      Log On


   



Question 71624: Directions : Add or subtract as indicated. Express your result in simplest form.
#58
(3)/(x^2+4x+3) minus (1)/(x^2-9)
#62
(4y)/(y^2+6y+5) plus (2y)/(y^2-1)

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
3/(x^2+4x+3)-1/(x^2-9)
3/(x+1)(x+3)-1/(x+3)(x-3)
[3(x-3)-1(x+1)]/(x+3)(x-3)(x+1)
(3x-9-x-1)/(x+3)(x-3)(x+1)
(2x-10)/(x-3)(x+3)(x+1)
2(x-5)/(x-3)(x+3)(x+1)
--------------------------------------------
4y/(y^2+6y+5)+2y/(y^2-9)
4y/(y+5)(y+1)+2y/(y+3)(y-3)
[4y(y+3)(y-3)+2y(y+5)(y+1)]/(y+5)(y+1)(y+3)(y-3)
2y[2(y+3)(y-3)+(y+5)(y+1)]/(y+5)(y+1)(y+3)(y-3)