SOLUTION: Add or subtract as indicated. Be sure to simplify completely. 4y/y^2+6y+5 plus 2y/y^2-1 Yikes!!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add or subtract as indicated. Be sure to simplify completely. 4y/y^2+6y+5 plus 2y/y^2-1 Yikes!!!      Log On


   



Question 64939: Add or subtract as indicated. Be sure to simplify completely.
4y/y^2+6y+5 plus 2y/y^2-1
Yikes!!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[4y/y^2+6y+5] plus [2y/y^2-1]
[4y/(y+5)(y+1)]+[2y/(y+1)(y-1)]
Least commond denominator is lcd=(y+5)(y+1)(y-1)
Rewrite each fraction with the lcd as its denominator:
[4y(y-1)/lcd]+[2y(y+5)/lcd]
Add the numerators and write over the lcd.
[4y^2-4y+2y^2+10]/lcd
[6y^2-4y+10]/lcd
[2(3y^2-2y+5)]/[(y+5)(y-1)(y+1)]
Cheers,
Stan H.